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HMMT 二月 2006 · COMB 赛 · 第 6 题

HMMT February 2006 — COMB Round — Problem 6

专题
Contest Math / 竞赛数学
难度
L3
来源
HMMT

题目详情

英文原题

  1. For how many ordered triplets ( a, b, c ) of positive integers less than 10 is the product a × b × c divisibleby 20?
解析

英文解析

  1. For how many ordered triplets ( a, b, c ) of positive integers less than 10 is the producta × b × c divisible by 20?
    Answer: 102
    Solution: One number must be 5. The other two must have a product divisible by