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  • In how many ways can 13 queens be divided into 3 groups in such a way that they get three, four and six queens?Option: 1 <img alt="10296" s

In how many ways can 13 queens be divided into 3 groups in such a way that they get three, four and six queens?

Option: 1

10296


Option: 2

60060


Option: 3

168168


Option: 4

60040


Answers (1)

best_answer

Number of ways of dividing (m+n+p)(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=4, p=6

Then, the total number of ways: 

\frac{13 !}{3 ! 4 ! 6 !}=60060

Posted by

SANGALDEEP SINGH

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