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  • 18 mice were placed in two experimental groups and one control group, with all groups equally large. In how many ways can the mice be placed into three groups?

18 mice were placed in two experimental groups and one control group, with all groups equally large. In how many ways can the mice be placed into three groups?

Answers (1)

Since, 18 mice were placed equally in three groups. Each group had 6 mice

Number of ways of forming 3 groups each with 6 mice= ^{18}C_6*^{12}C_6*^{6}C_6=\frac{18!}{6!6!6!}

But this includes the order in which the three groups are formed i.e. 3! which should not be 

counted.

So, actual number of ways=\frac{18!}{6!6!6!3!}

Posted by

infoexpert21

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