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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 one, seven and eight 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 one, seven and eight friends?

Option: 1

102920


Option: 2

102940


Option: 3

102960


Option: 4

102900


Answers (1)

best_answer

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

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

Here  m=1, n=7, p=8

Then, the total number of ways: 

\frac{16 !}{1 ! 7 ! 8 !}=102960

Posted by

Ritika Jonwal

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