返回题库

HMMT 二月 2004 · 冲刺赛 · 第 1 题

HMMT February 2004 — Guts Round — Problem 1

专题
Discrete Math / 离散数学
难度
L3
来源
HMMT

题目详情

  1. [5] Find the value of ( ) ( ) ( ) ( ) ( ) ( ) 6 6 6 6 6 6 1 2 3 4 5 6 2 + 2 + 2 + 2 + 2 + 2 . 1 2 3 4 5 6
解析
  1. Find the value of ( ) ( ) ( ) ( ) ( ) ( ) 6 6 6 6 6 6 1 2 3 4 5 6 2 + 2 + 2 + 2 + 2 + 2 . 1 2 3 4 5 6 Solution: 728 6 This sum is the binomial expansion of (1 + 2) , except that it is missing the first term, ( ) 6 0 6 2 = 1. So we get 3 − 1 = 728. 0