返回题库

HMMT 二月 2001 · 冲刺赛 · 第 29 题

HMMT February 2001 — Guts Round — Problem 29

专题
Contest Math / 竞赛数学
难度
L3
来源
HMMT

题目详情

英文原题

  1. [10] Count the number of sequences a , a , a , a , a of integers such that a ≤ 1 for
    1 2 3 4 5 iall i and all partial sums ( a , a + a , etc.) are non-negative.
    1 1 2 2
解析

英文解析

  1. [10] Count the number of sequences a , a , a , a , a of integers such that a ≤ 1 for
    1 2 3 4 5 iall i and all partial sums ( a , a + a , etc.) are non-negative.
    1 1 2
    Solution: C (length + 1) = C (6) = 132 . 2