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
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dont have to eliminate the reverse version cuz its two diff offices
dont have to eliminate the reverse version cuz its two diff offices
我的思路: 因为是两个不同的office,所以可以这样安排: 1. OFFICE A 三个. OFFICE B 0个 2. OFFICE A. 0个 OFFICE B 三个 3. OFFICE A 两个. OFFICE B 一个 4. OFFICE A 1个. OFFICE B 两个
情况1和情况2都是一种,加起来是两种。情况3和情况4相同,先从三个员工里面抽2个,再从剩下的一个里面抽1个。C32=三种,因为情况3和情况4相同,所以三种*2=6种。然后把情况1234都加起来,就是1+1+3+3=8种
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