2023 AIME I Problems/Problem 1

Revision as of 11:58, 8 February 2023 by Kabbybear (talk | contribs) (Solution 1)

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 $\frac{x}{y}$ be the probability that every man stands diametrically opposite from a woman.

Find $x+y$.

Solutions

Solution 1

Use combinatorics

Solution 2

Something else

See also

2023 AIME I (ProblemsAnswer KeyResources)
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