HMMT 二月 2000 · GEN 赛 · 第 17 题
HMMT February 2000 — GEN Round — Problem 17
题目详情
英文原题
- In ho w man y distin t w a ys an the letters of ST ANTON be arranged?
解析
英文解析
- There are 7! w a ys to arrange those letters. Ho w ev er, for ev ery distin t arrangemen t,
there are 2! 2! = 4 total arrangemen ts of the 2 T's and 2 N's. Therefore, the total
7!
number of distin t w a ys to arrange the letters is = 1260 .
2!2!