Q22:
A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 3 employees to 2 different offices?
A. 5
B. 6
C. 7
D. 8
E. 9
请教思路
把3个人,往2个办公室里扔。
每个人都有两种选择。2^3=8.
谢谢及时的回复,我没理解下面这句话:
in such a way that some of the offices can be empty and more than one employee can be assigned to an office
这是不是等于说可以随便分没有限制?
对.那句话是说:
用这样一个方法,可以有办公室是空的,也可以多个人都塞到一个办公室里.
1 有一个办公室是空的(任意)
则有2种情况
2 两个办公室都不为空,则必有一个是1个人的(任意)
c(3,1)*c(2,2)*2=6
so 2+6=8
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