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  • In how many ways can 14 mines be divided into 3 groups in such a way that they get three, five  and six mines?Option: 1 <img alt="1001

In how many ways can 14 mines be divided into 3 groups in such a way that they get three, five  and six mines?

Option: 1

100100


Option: 2

960960


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 \text ) things into three unequal

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

Here  m=3, n=5, p=6

Then, the total number of ways:

\frac{14 !}{3 ! 5 ! 6 !}=168168

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mansi

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