MindYourDecisions | Can you solve these counting problems? @MindYourDecisions | Uploaded 10 months ago | Updated 2 hours ago
There are 100 players in a single elimination tournament. How many matches need to be played? Three sets have their union as the integers from 1 to 10, and their intersection is the empty set. How many such sets are possible? Special thanks this month to: Mike Robertson, Daniel Lewis, Kyle, Lee Redden. Thanks to all supporters on Patreon! http://www.patreon.com/mindyourdecisions
0:00 problems
2:25 solution 1
5:18 solution 2
Problem 1
The College Panda
thecollegepanda.com/12-tricky-sat-math-questions
Brainly
brainly.com/question/13082487
AoPS 2023 AMC 10B, P15
artofproblemsolving.com/wiki/index.php/2003_AMC_10B_Problems/Problem_15
Problem 2
1985 Putnam A1
https://prase.cz/kalva/putnam/psoln/psol851.html
Twitter
twitter.com/BannedIran/status/1416592272699842564/photo/1
1985 Putnam
kskedlaya.org/putnam-archive/1985.pdf
Math StackExchange
math.stackexchange.com/questions/1190662/1985-putnam-a1-solution
1985 Putnam solutions
https://math.berkeley.edu/~giventh/19109_85s.pdf
More Putnam videos
--------------------------------------
1968 Putnam exam A1
An integral that implies pi is less than 22/7
youtu.be/MFnOaaXwOJk
2004 Putnam A1
If your free throw percentage is below 75%, and later is above 75%, is there necessarily a point where it is exactly 75%?
youtu.be/vqpWwgpDs58
1978 Putnam B1
A convex octagon inscribed in a circle has four consecutive sides of length 3 and four consecutive sides of length 2. Find the area of the octagon.
youtu.be/3Ze-59CxFbE
1994 Putnam A2
Finding the area of a sector of an ellipse
youtu.be/fNlr1z_kNlc
1989 Putnam A4
For an irrational number &alpha between 0 and 1, is there a finite game with an unbiased coin such that the probability of one player winning the game is α?
youtu.be/lORQ_wt2MZY
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If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay.
If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay.
Book ratings are from January 2023.
My Books (worldwide links)
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Mind Your Decisions: Five Book Compilation
amzn.to/2pbJ4wR
A collection of 5 books:
"The Joy of Game Theory" rated 4.3/5 stars on 290 reviews
http://amzn.to/1uQvA20
"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviews
http://amzn.to/1o3FaAg
"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviews
http://amzn.to/1LOCI4U
"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviews
http://amzn.to/18maAdo
"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviews
http://amzn.to/XRm7M4
Mind Your Puzzles: Collection Of Volumes 1 To 3
amzn.to/2mMdrJr
A collection of 3 books:
"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviews
http://amzn.to/1GhUUSH
"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviews
http://amzn.to/1NKbyCs
"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviews
http://amzn.to/1NKbGlp
2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.
My Blog
mindyourdecisions.com/blog
Twitter
twitter.com/preshtalwalkar
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Patreon
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There are 100 players in a single elimination tournament. How many matches need to be played? Three sets have their union as the integers from 1 to 10, and their intersection is the empty set. How many such sets are possible? Special thanks this month to: Mike Robertson, Daniel Lewis, Kyle, Lee Redden. Thanks to all supporters on Patreon! http://www.patreon.com/mindyourdecisions
0:00 problems
2:25 solution 1
5:18 solution 2
Problem 1
The College Panda
thecollegepanda.com/12-tricky-sat-math-questions
Brainly
brainly.com/question/13082487
AoPS 2023 AMC 10B, P15
artofproblemsolving.com/wiki/index.php/2003_AMC_10B_Problems/Problem_15
Problem 2
1985 Putnam A1
https://prase.cz/kalva/putnam/psoln/psol851.html
twitter.com/BannedIran/status/1416592272699842564/photo/1
1985 Putnam
kskedlaya.org/putnam-archive/1985.pdf
Math StackExchange
math.stackexchange.com/questions/1190662/1985-putnam-a1-solution
1985 Putnam solutions
https://math.berkeley.edu/~giventh/19109_85s.pdf
More Putnam videos
--------------------------------------
1968 Putnam exam A1
An integral that implies pi is less than 22/7
youtu.be/MFnOaaXwOJk
2004 Putnam A1
If your free throw percentage is below 75%, and later is above 75%, is there necessarily a point where it is exactly 75%?
youtu.be/vqpWwgpDs58
1978 Putnam B1
A convex octagon inscribed in a circle has four consecutive sides of length 3 and four consecutive sides of length 2. Find the area of the octagon.
youtu.be/3Ze-59CxFbE
1994 Putnam A2
Finding the area of a sector of an ellipse
youtu.be/fNlr1z_kNlc
1989 Putnam A4
For an irrational number &alpha between 0 and 1, is there a finite game with an unbiased coin such that the probability of one player winning the game is α?
youtu.be/lORQ_wt2MZY
Subscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1
Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!
If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay.
If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay.
Book ratings are from January 2023.
My Books (worldwide links)
mindyourdecisions.com/blog/my-books/#worldwide
My Books (US links)
Mind Your Decisions: Five Book Compilation
amzn.to/2pbJ4wR
A collection of 5 books:
"The Joy of Game Theory" rated 4.3/5 stars on 290 reviews
http://amzn.to/1uQvA20
"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviews
http://amzn.to/1o3FaAg
"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviews
http://amzn.to/1LOCI4U
"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviews
http://amzn.to/18maAdo
"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviews
http://amzn.to/XRm7M4
Mind Your Puzzles: Collection Of Volumes 1 To 3
amzn.to/2mMdrJr
A collection of 3 books:
"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviews
http://amzn.to/1GhUUSH
"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviews
http://amzn.to/1NKbyCs
"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviews
http://amzn.to/1NKbGlp
2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.
My Blog
mindyourdecisions.com/blog
twitter.com/preshtalwalkar
instagram.com/preshtalwalkar
Merch
teespring.com/stores/mind-your-decisions
Patreon
patreon.com/mindyourdecisions
Press
mindyourdecisions.com/blog/press
