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  • In how many ways 18 different dolls can be divided into three kids groups in such a way that they get five, six and seven dolls?Option: 1 <

In how many ways 18 different dolls can be divided into three kids groups in such a way that they get five, six and seven dolls?

Option: 1

5250960


Option: 2

6126122


Option: 3

14702688


Option: 4

147026880


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=5, n=6, p=7

Then, the total number of ways:

\frac{18 !}{5 ! 6 ! 7 !}=14702688

Posted by

Ritika Jonwal

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