of the 7 members of the city council,4 are Democats and 3 are Republicans.of the 7 members of the city council,4 are Democats and 3 are Republicans.T is the total number of different 3-person committees that can be appointed from the council membersh

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of the 7 members of the city council,4 are Democats and 3 are Republicans.of the 7 members of the city council,4 are Democats and 3 are Republicans.T is the total number of different 3-person committees that can be appointed from the council membersh

of the 7 members of the city council,4 are Democats and 3 are Republicans.of the 7 members of the city council,4 are Democats and 3 are Republicans.T is the total number of different 3-person committees that can be appointed from the council membersh
of the 7 members of the city council,4 are Democats and 3 are Republicans.
of the 7 members of the city council,4 are Democats and 3 are Republicans.T is the total number of different 3-person committees that can be appointed from the council membership such that each committee consists of 2Democrats and 1Republican.
求：比较大小T和15
尽量写出推倒过程

of the 7 members of the city council,4 are Democats and 3 are Republicans.of the 7 members of the city council,4 are Democats and 3 are Republicans.T is the total number of different 3-person committees that can be appointed from the council membersh
1楼算法错了,先从四个Democrats选出2个,方式有C(4,2)=4x3/2=6种
接下来是3个Republicans,方式有C(3,1)=3种
所以T=c(4,2)*c(3,1)=18>15

这是一道排列组合的题目，总共符合他的 3-person committees 的共有4乘以3乘以3种组合方式，因为先从4个democrat里调一个，然后再在剩下的三个里挑出一个，然后再在republic里选一个，这都是不同的人员。这个t就比15大很多。

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