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HMMT 二月 2006 · 冲刺赛 · 第 14 题

HMMT February 2006 — Guts Round — Problem 14

专题
Contest Math / 竞赛数学
难度
L3
来源
HMMT

题目详情

英文原题

  1. [7] Let X be as in problem 13. Let Y be the number of ways to order X crimson flowers, Xscarlet flowers, and X vermillion flowers in a row so that no two flowers of the same hue areadjacent. (Flowers of the same hue are mutually indistinguishable.) Find Y .
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解析

英文解析

  1. Let X be as in problem 13. Let Y be the number of ways to order X crimson flowers,
    X scarlet flowers, and X vermillion flowers in a row so that no two flowers of the samehue are adjacent. (Flowers of the same hue are mutually indistinguishable.) Find Y .
    Answer: 30
    Solution: Problems 13–15 go together. See below.
    √