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  • In how many ways can 16 friends of a gang be divided into 3 groups in such a way that they get three, six and seven friends?Option: 1 <img

In how many ways can 16 friends of a gang be divided into 3 groups in such a way that they get three, six and seven friends?

Option: 1

102920


Option: 2

960960


Option: 3

960940


Option: 4

102900


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=3, n=6, p=7

Then, the total number of ways: 

\frac{16 !}{3 ! 6 ! 7 !}=960960

Posted by

Rishabh

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