返回题库

HMMT 十一月 2023 · 冲刺赛 · 第 2 题

HMMT November 2023 — Guts Round — Problem 2

专题
Discrete Math / 离散数学
难度
L3
来源
HMMT

题目详情

  1. [5] Compute the number of dates in the year 2023 such that when put in MM/DD/YY form, the three numbers are in strictly increasing order. For example, 06/18/23 is such a date since 6 < 18 < 23, while today, 11/11/23, is not.
解析
  1. [5] Compute the number of dates in the year 2023 such that when put in MM/DD/YY form, the three numbers are in strictly increasing order. For example, 06/18/23 is such a date since 6 < 18 < 23, while today, 11/11/23, is not. Proposed by: William Hu Answer: 186 Solution: January contains 21 such dates, February contains 20, and so on, until December contains