HMMT 二月 2002 · GEN2 赛 · 第 2 题
HMMT February 2002 — GEN2 Round — Problem 2
题目详情
- You are in a completely dark room with a drawer containing 10 red, 20 blue, 30 green, and 40 khaki socks. What is the smallest number of socks you must randomly pull out in order to be sure of having at least one of each color? √ √ √
解析
- You are in a completely dark room with a drawer containing 10 red, 20 blue, 30 green, and 40 khaki socks. What is the smallest number of socks you must randomly pull out in order to be sure of having at least one of each color? Solution: 91 . The maximum number of socks that can be pulled out without repre- senting every color is 20 blue + 30 green + 40 khaki = 90, so 91 is the minimum needed to ensure that this doesn’t happen. √ √ √