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  • In how many ways can 13 cups be divided into 3 groups in such a way that they get one, five and seven cups?Option: 1 <img alt="10296" src="

In how many ways can 13 cups be divided into 3 groups in such a way that they get one, five and seven cups?

Option: 1

10296


Option: 2

10294


Option: 3

168168


Option: 4

168160


Answers (1)

best_answer

Number of ways of dividing (m+n+p) \text { (where } m \neq n \neq p) things into three unequal

groups of size m,n,p is =\frac{(m+n+p) !}{m ! n ! p !}

Here m=1, n=5, p=7

Then, the total number of ways:

\frac{13 !}{1 ! 5 ! 7 !}=10296

Posted by

Ritika Kankaria

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