MathDB

1

Part of 2023 AIME

Problems(2)

2023 AIME I Problem 1

Source: 2023 AIME I Problem 1

2/8/2023
Five men and nine women stand equally spaced around a circle in random order. The probability that every man stands diametrically opposite a woman is mn,\frac{m}{n}, where mm and nn are relatively prime positive integers. Find m+n.m+n.
chapter mathcounts problem made it on the aime

Source: 2023 AIME II Problem #1

2/16/2023
The number of apples growing on each of six apple trees form an arithmetic sequence where the greatest number of apples growing on any of the six trees is double the least number of apples growing on any of the six trees. The total number of apples growing on all six trees is 990990. Find the greatest number of apples growing on any of the six trees.
AMCAIMEAIME II