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?
5
6
7
8
9
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2^3 =8
2*2*2=8
每个人都有两种选择
全空难道不可以算一种情况吗...
2^3 =8
2*2*2=8
每个人都有两种选择
全空难道不可以算一种情况吗...
3C3
3C3
3C3 -- number of ways 3 employees can be chosen for office 1
+ 3C2 -- number of ways 2 employee can be chosen for office 1
+ 3C1 -- number of ways 1 employee can be chosen for office 1
+ 3C0 -- number of ways 0 employees can be chosen for office 1
= 1 + 3 + 3 + 1
= 8
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