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HMMT 二月 2000 · POW 赛 · 第 2 题

HMMT February 2000 — POW Round — Problem 2

专题
Contest Math / 竞赛数学
难度
L3
来源
HMMT

题目详情

英文原题

  1. Find the number of 3-letter "w ords" that use letters from the 10-letter set f A; B ; C ; :::; J gin which all letters are di eren t and the letters app ear in alphab eti al order.
解析

英文解析

  1. 10 9 8 giv e the number of all di eren t 3 letter w ords. One sixth of these are in
    10 9 8
    alphab eti al order. = 120 . 6