2023 AIME I Problems/Problem 1: Difference between revisions
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==Solutions== | ==Solutions== | ||
===Solution 1=== | ===Solution 1=== | ||
Use combinatorics | |||
===Solution 2=== | ===Solution 2=== | ||
Revision as of 11:58, 8 February 2023
Problem
Note: This is not official (I am posting this because the AIME I is officially over). Please post official problem statement after it is released.
There are five men and nine women randomly arranged in a circle. Let 
be the probability that every man stands diametrically opposite from a woman.
Find 
.
Solutions
Solution 1
Use combinatorics
Solution 2
Something else
See also
| 2023 AIME I (Problems • Answer Key • Resources) | ||
| Preceded by First Question |
Followed by Problem 2 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
