combinations and permutations by ACMEScience

Last Updated: April 21, 2026
Live from Las Vegas, it is Samuel Hansen, and what ever panel he managed to scrap together this week, talking about the greatest topics in all of mathematics.
C&P 72: My Mom Thinks I’m a Mathematician
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Even though no on asked for it Samuel did it, he brought back Combinations and Permutations. Really he did it for a segment of Relatively Prime, but in the end it is the same result: More ridiculous mathematical jokes and tangents. For this special episode he got some of the old favorites, Nathan Rowe, Sean Breckling, and Brandon Metz, back together in the mail room of UNLV CDC Building 7 to record an episode all about what mathematicians do all day.

Combinations and Permutations Episode 71: Unless You Are In Z1
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Samuel Hansen is joined by Brandon Metz, Juan Mariscal, and Cody Palmer for an era ending episode as Samuel is leaving las Vegas within a week of this recording. So they decided to tackle the four most fundamental of all mathematical operations: addition, subtraction, multiplication, and division.

Combinations and Permutations Episode 70: The Pink Notepad
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For today’s Combinations and Permutations Samuel Hansen is joined by a Sean Breckling and Cody Palmer for discussion about just what that math we are all told that we do every single day really is.

Combinations and Permutations Episode 69: A Taste of SCC
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Samuel Hansen was unable to get his fellow guests together so today on Combinations and Permutations we feature two interviews from our sister show Strongly Connected Components, Daina Taimina and David Spiegelhalter.

Combinations and Permutations Episode 68: Brachistroni and Cheese
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On this episode of Combinations and Permutations Samuel Hansen is joined by Cody Palmer and Christopher Bates for a rather lively discussion of Conics, Koch, Roses, Spirals, the Witch of Agnesi, and brachistroni and cheese. In other words they talked about curves.

Combinations and Permutations Episode 67: This is Not About Facebook
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Combinations and Permutations Episode 66: Get a Job
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Samuel Hansen is joined by Brandon Metz and Cody Palmer to talk about mathematical careers that was requested by Peter Rowlett, who suggested it just to make sure Samuel plugged his podcast Travels in a Mathematical World.

Combinations and Permutations Episode 65: We Made them Play Telephone
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Back from a Thesis related podcast vacation Samuel Hansen hosts a podcast talking about talking about talking about math, with special guests Brandon Metz, Sean Breckling, and Jenni Whitmer.

Combinations and Permutations Episode 64: Why, Just Why?
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On today’s episode of Combinations and Permutations your host Samuel Hansen poses the question of why mathematics to his guests Sean Breckling and Brandon Metz. He kind of sort of gets an answer, and then it all devloves into a debate on mathematical communication. Here we go.

Combinations and Permutations Episode 63: Now It Seems Trivial
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On today’s Combinations and Permutations Samuel Hansen is joined by Christopher Bates, Cody Palmer, and Anthony Sellari for the most optimal episode in our history. Also, do not forget about the “I Listen and I hate You” email competition where you can win a photo of Samuel getting stomped by his guests, and maybe even more. Follow @acmescience on twitter too!

Combinations and Permutations Episode 62: Jeff Goldblum on a Tilt-a-Whirl
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ACMEScience · CP 62 Jeff Goldblum On A Tilt – A-Whirl On today’s Combinations and Permutations your host Samuel Hansen is joined by Brandon Metz, Sean Breckling, and Juan Mariscal for a conversation that was doomed from the start thanks to its sensitivity to initial conditions. In one of the most tangential conversations in months …
Combinations and Permutations Episode 61: It’s all in the Family
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Your intrepid host Samuel Hansen is joined on today’s Combinations and Permutation by Cody Palmer and Bradon Metz to talk about the most prolific mathematical family of all time, the Bernoulli’s. Here are some links to the topics we covered: Bernoulli Family Tree Jacob Johann Nicolaus I Nicolaus II Daniel Johann II Johan III Jacob …
Combinations and Permutations Episode 60: A Big Question Mark
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On today’s episode of Combinations and Permutations Samuel Hansen, your intrepid host, was joined by official beard owner Cody Palmer and newbie Sean Breckling to have a little chat about functions and their graphs. Covering things from critical points to asymptotes this episode ends on a great big question mark. Topics covered: Functions Graph of …
Combinations and Permutations Episode 59: The Brute Force Method
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Samuel Hansen was joined by Brandon Metz, Cody Palmer, Kevin Benton, and Juan Mariscal to have a discussion about effective methods described with well-defined instructions; yes they talked about Algorithms. Before they talked algorithms though they had a discussion about the contents of the first Combinations and Permutations book, a project suggested by @faircall, the …
Combinations and Permutations Episode 58: No Pants
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Today’s episode of Combinations and Permutations features Cody Palmer, Brandon Metz, and your intrepid host Samuel Hansen discussing the many faces, look a pun, of tesselations. Topics Covered: Tesselations Regular Tilings Penrose Tiling Hyperbolic Tesselations MC Escher Escher Tesselations Download the Episode [wpaudio url=”https://www.acmescience.com/Podcasts/CP/cp58.mp3″]
Combinations and Permutations Episode 57: LIVE, with audium!
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ACMEScience · CP 57 LIVE, With Audium! Today’s episode of Combinations and Permutations was recorded live at MathsJam in Stone England back on November 13/14th. Samuel Hansen was joined by Matt Parker, James Grime, and Peter Rowlett for the funniest and least informative episode yet. Download the Episode
Combinations and Permutations Episode 56: 8 and a 1/2 Years
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On today’s episode of Combinations and Permutations Samuel Hansen got together Anthony Sellari and Steven Fisher to talk about a subject that they all know way too much about Graduate Studies in Mathematics. Disclaimer: This episode involves much belly aching and yelling about the horribleness of graduate school, it is not meant to influence any …
Combinations and Permutations Episode 55: What is a Forest?
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On today’s Combinations and Permutations Samuel Hansen finally gives in and just talks about Graph Theory with his guests Anthony Sellari, Cody Palmer, and new blood Steve Fisher. Topics: Graph Theory Bridges of Koenisberg Eulerian Path Hamilotian Path Directed Graphs 4-Colors of Podcasting Network Flow Trees Download the Episode [wpaudio url=”https://www.acmescience.com/Podcasts/CP/cp55.mp3″] Also be sure to …
Combinations and Permutations Episode 54: Cold War Logic
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Samuel Hansen had Nathan Rowe, Christopher Bates, and Cody Palmer over to the studio this past weekend to have a wonderful discussion on the Embryonic, Algebraic, Logicist, and Cold War Eras of Logic. Here are some links to the things discussed on the episode: History of Logic Mathematical Logic Propositional Logic 1st-Oder Logic Download the …
Combinations and Permutations Episode 53: We Will Never Be As Good As Him
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On this weeks episode Samuel Hansen wrangled together Cody Palmer and Brandon Metz to have a discussion about one of the greatest mathematicians of the 20th Century: John Von Neumann. What follows are some links and some pictures to help explain the show.(PS Do not forget to leave us an iTunes Review to get mentioned …
Combinations and Permutations Episode 52: Let’s Just Insult Sam
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On this week’s episode of Combinations and Permutations Samuel Hansen managed to wrangle together Juan Mariscal, Cody Palmer, and Brandon Metz to talk about the wonderfully disconnected world of Discrete Mathematics. Also we guarantee that your favorite Combinations and Permutation guest will read your name on the show if you leave us an iTunes review. Some links for this …
Combinations and Permutations Episode 51: Experimentally Determinable
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On the first episode back after a rather extended summer hiatus Samuel Hansen hosts the 51st, 2nd half of our first century here we come, episode with guests Christopher bates, Nathan Rowe, and Anthony Sellari. Together they discuss mathematical research, experimental mathematics, and the wonder that is the Polymath Project. Give it a listen, I …
Combinations and Permutations Episode 50: THE GAME SHOW!
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May I present to you The Combinations and Permutations Game Show with your Host Samuel Hansen and contestants Leigh-Anne Duncan, Christopher Bates, Eric Everstine, Anthony Sellari, Nathan Rowe, and Cody Palmer. Download the Episode [wpaudio url=”https://www.acmescience.com/Podcasts/CP/cp50.mp3″]
Combinations and Permutations Episode 49: The Forbes 25th Ranked Mathematical Podcast
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Samuel Hansen got Combinations and Permutations All-Stars Nathan Rowe and Anthony Sellari, as well as young starlet Eric Everstine together this week to talk about 3 pieces of very important Mathematical News. Russian Math Genius Ignores $1 Million Dollar Prize Go Figure: Maths is No Longer in its Prime Computing’s Killer Problem Download the Episode …
Combinations and Permutations episode 50 Sketch Outtakes
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For the 50th episode of Combinations and Permutations we are going to try something completely different, and it is going to include sketches. Cody Palmer, Juan mariscal, and Samuel Hansen sat around a couple weeks ago and wrote some sketches and what follows is the unedited version of Juan’s version of a sketch called Kronecker’s …
Combinations and Permutations Episode 48: Bad, Bad, Bad, Math
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Samuel Hansen welcomes Sean Najera into the Combinations and Permutations fold and brings back Eric Everstine and manages to pronounce his name correctly on the first try. The reason that Samuel did this amazing thing was to discuss the wonderful topic that is pseudomathematics. Even though there commentary on pseudomathematics was beyond reproach, you, the …
Combinations and Permutations 50th Episode Sketch Outtakes 2
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For the 50th episode of Combinations and Permutations we are going to try something completely different, and it is going to include sketches. Cody Palmer, Juan mariscal, and Samuel Hansen sat around last week and wrote some sketches and what follows is the unedited version of Juan’s version of a sketch called Kronecker’s Intervention. Enjoy! …
Combinations and Permutations Episode 47: Juan Wins?
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Samuel Hansen brought in Juan Mariscal, Cody Palmer, and Nathan Rowe together so that they could all talk about the subject which they teach: Trigonometry. Also, Samuel hosts a quick trivia contest. Here are some links about what was discussed on this episode: Trigonometry Trigonometric Functions Law of Sines Final Scores of Trivia: Juan had …
Combinations and Permutations Episode 46: What Would Georg Do?
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Samuel Hansen demands that Cody Palmer, Juan Mariscal, and Nathan Rowe talk about the least appreciated and most disparaged mathematician in recent history: Georg Cantor. Links to this episode’s topic: Georg Cantor Set Theory Baconism Download the Episode [wpaudio url=”https://www.acmescience.com/Podcasts/CP/cp46.mp3″]
Combinations and Permutations 50th Episode Sketch Outtakes
Published:
For the 50th episode of Combinations and Permutations we are going to try something completely different, and it is going to include sketches. Cody Palmer, Juan mariscal, and Samuel Hansen sat around last week and wrote some sketches and what follows is the unedited version of Juan’s version of a sketch called Kronecker’s Intervention. Enjoy! …
Combinations and Permutations Episode 45: The Number 31
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On today’s episode Samuel Hansen really tries to make Anthony Sellari, Brandon Metz, and Christopher Bates discuss the three articles that he had assigned them to read. Links to the articles discussed: Bolztmann Solution Metric Mania The Number 31 and Counting Download the Episode Download the Episode [wpaudio url=”https://www.acmescience.com/Podcasts/CP/cp45.mp3″]
Combinations and Permutations Episode 44: It’s All in Fun
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On today’s episode Samuel Hansen plays host to Christopher Bates, Brandon Metz, and Anthony Sellari to talk about Recreational Mathematics and its God Martin Gardner. Here are some links: Martin Gardner Recreational Mathematics The Birthday Problem Gathering for Gardner Also here is a clip on the Monty Hall Problem from the TV show Numb3rs: Download …
Combinations and Permutations Episode 43: Mr. Math Teacher
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On this, the 43rd episode of Combinations and Permutations Brandon Metz, Cody Palmer, and Samuel Hansen got together to record about an hour of surprisingly sincere and honest audio on mathematical teaching. Unlike most episode there is not a long list of links to wikipedia articles or pop culture minutiae to post here so instead …
Combinations and Permutations Episode 42: The Miley Partition
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On today’s episode Brandon Metz and Cody Palmer are the guests as your intrepid, and often abused host, Samuel Hansen does his best to try to make them talk about Partition Theory. Samuel soon sees it is hopeless and begins to sing. Topics Discussed on the Episode include: Partition Theory Lagrange Four-Square Theorem Polite Numbers …
Combinations and Permutations Episode 41: Harmonic Plosives
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This week on Combinations and Permutations your host Samuel Hansen managed to convince three guests, Christopher Bates, Brandon Metz, and Cody Palmer, to join him in his home office/studio to talk about the wonderful world of analysis. Here are some links to what they talked about: Mathematical Analysis Cauchy Sequences A Pernicious Idea(C&P Episode 15) …
Combinations and Permutations Episode 40: John Henry was Here
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It has been quite a while since we have recorded, or released, anything but here we are with a new epsidoe of Combinations and Permutations. Your host Samuel Hansen is joined by Rob Schultz from notART and Better Radio, as well as regulars Nathan Rowe and Christopher Bates to talk about the problem with Searle. …
Combinations and Permutations Episode 39: You Missed Something
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Samuel Hansen hosts and Brandon Metz and Eric Everstein guest on this episode about knots. Download the Episode [wpaudio url=”https://www.acmescience.com/Podcasts/CP/cp39.mp3″]
Episode 38: Plastics and Constants
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Samuel Hansen is still the host, and well over his ennui of last week, and has Nathan Rowe and Christopher Bates on to talk constants in honor of Pi Day Download the Episode [wpaudio url=”https://www.acmescience.com/Podcasts/CP/cp38.mp3″]
Episode 37: Is This the End?
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Samuel Hansen hosts, with regrets, yet another episode of Combinations and Permutations, this time about Polyhedra. Download the Episode [wpaudio url=”https://www.acmescience.com/Podcasts/CP/cp37.mp3″]
Combinations and Permutations Episode 36: Master of Us All
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On this weeks podcast Samuel Hansen, Juan Mariscal, Anthony Sellari, and Nathan Rowe get together to discuss their master: Euler. SO SAY WE ALL sound bite Battlestar Galactica sound bites
Combinations and Permutations Episode 35: Despotisms BAD
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Samuel Hansen finally managed to get three other people, Brandon Metz, Cody Palmer, and Juan Mariscal, together in a room to talk about mathematics. In another episode that takes place in thought experiment world, they talk about mathematics and despotisms. Download the Episode [wpaudio url=”https://www.acmescience.com/Podcasts/CP/cp35.mp3″]
Combinations and Permutations Episode 34: Diff-E-Freeze
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On this today’s episode Samuel Hansen, Cody Palmer, and the Juan(Man Show) Mariscal discuss: differential equations, stormtroopers, the best mall restaurants, and develop a plan for the best slurpee franchise ever. Download the Episode [wpaudio url=”https://www.acmescience.com/Podcasts/CP/cp34.mp3″]
Combinations and Permutations Episode 33: Chopping Down the Trees of Ignorance
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Leigh Anne Duncan, Brandon Metz, Cody Palmer, and your host Samuel Hansen get together at the end of another semester to talk about exams: what they like about them, what types there are, but mostly what they hate about examinations. We do not like these Even the Young Ones understand Collaboration is Important This Exam …
Combinations and Permutations Episode 32: They Come From Dimension X
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On Today’s Podcast Nathan Rowe, Leigh Anne Duncan, Christopher Bates, and your host Samuel Hansen discuss: The real meaning of Lupis, why Rudy Rucker asolutely rules, and backward vs. forward Causality. Download the Episode [wpaudio url=”https://www.acmescience.com/Podcasts/CP/cp32.mp3″]
Combinations and Permutations Episode 31: S/T
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Nathan Rowe, Anthony Sellari, Christopher Bates, and I, your intrepid host, Samuel Hansen get together for a new episode and here is what we talk about: Now They Are All Dead It Never Is This Easy What’s the Orientation? Neither Is Mine Hey Look Its Us It is Only Because There Are Not N+1 of Them Even …
Combinations and Permutations Episode 30: Chris Are You There?
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I, your intrepid host Samuel Hansen, and my two guests, Anthony Sellari and Nathan Rowe, got together in the secret location in the Las Vegas Valley to discuss the following: Guess What These Are? We Wish To State Our Appreciation Not My Idea of Ideal Still Open for a Reason, Yeah it Really is That …
Combinations and Permutations Episode 29: Introducing Strongly Connected Components
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Due to the holiday and a few other things going on we were unable to bring you a new Combinations and Permutations this week but as a gift to the Combinations and Permutations audience I am giving you the audio from my interview with president of the AMS George Andrews from ACME Science’s other podcast …
Episode 28: God I Hate Quantum
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A Body in Motion Tends to Stay in Motion Why didn’t the apple hit him harderWe hear this all too oftenAnd I thought Three Bodies were Always better than TwoI Never Knew Steve Martin was so Integral to Calculus(See what I did there?)The Official Movie of Combinations and Permutations Frictionless my ass(By the Way Elephants=Friction)Ok, …
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