9本书,放在A,B,C三个柜子上,分别放4本,3本,2本,有几种放法拜托,很急我还是把原题打出来吧In how many ways cahatn 9 different books be divided among three boys A,B and C so that they receive 4 ,3 and 2 books respectively?A.16OO B. 3600 C. 1260 D. 2460

问题描述:

9本书,放在A,B,C三个柜子上,分别放4本,3本,2本,有几种放法
拜托,很急
我还是把原题打出来吧
In how many ways cahatn 9 different books be divided among three boys A,B and C so that they receive 4 ,3 and 2 books respectively?
A.16OO B. 3600 C. 1260 D. 2460

A有3种放法,4,3,2任选一
B有2种放法,因为被A选了一种
C就只剩一种放法了
所以
3+2+1=6

6种

C(下9上4)*C(下5上3)*C(下2上2)=1260

没法给你打出来啊,你就凑合着看吧
{C4(9)}*{C3(5)}*{C2(2)}