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  • In how many ways can 14 workers be divided into 3 groups in such a way that they get two, four and eight workers?Option: 1 <img alt="45045"

In how many ways can 14 workers be divided into 3 groups in such a way that they get two, four and eight workers?

Option: 1

45045


Option: 2

45040


Option: 3

168168


Option: 4

168160


Answers (1)

best_answer

Number of ways of dividing (m+n+p)(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=2, n=4, p=8

Then, the total number of ways: 

\frac{14 !}{2 ! 4 ! 8 !}=45045

Posted by

manish painkra

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