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HMMT 二月 2000 · POW 赛 · 第 15 题

HMMT February 2000 — POW Round — Problem 15

专题
Discrete Math / 离散数学
难度
L3
来源
HMMT

题目详情

  1. Ho w man y w a ys an a lass of 10 studen ts b e divided in to t w o groups of 3 and 1 group of 4?
解析
  1. This is partitioning 10 in to 3 partitions, 2 of 1 t yp e and one of the other. Th us, the 10! answ er is = 2100 . 3!3!4!2!