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  • In how many ways can 26 hitlers be divided into 3 groups in such a way that they get two, eight and sixteen boys?Option: 1 <img alt="292048

In how many ways can 26 hitlers be divided into 3 groups in such a way that they get two, eight and sixteen boys?

Option: 1

2920488440


Option: 2

239028075


Option: 3

239028070


Option: 4

2920488480


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=2, n=8, p=16

Then, the total number of ways: 

\frac{26 !}{2 ! 8 ! 16 !}=239028075

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