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  • Find the number of ways of distributing 6 different frocks among aarti, soni and preeti such that aarti  gets 3, soni gets 2 and preeti gets 1 frock.<stro

Find the number of ways of distributing 6 different frocks among aarti, soni and preeti such that aarti  gets 3, soni gets 2 and preeti gets 1 frock.

Option: 1

120


Option: 2

128


Option: 3

30


Option: 4

60


Answers (1)

best_answer

Number of ways of dividing (m+n+p)$ (where $m \neq n \neq p) things into three unequal
=\frac{(m+n+p) !}{m ! n ! p !}

 groups of size  m, n, p  is
Here m=3, n=2, p=1
Then, the total number of ways:
\frac{6 !}{3 ! 2 ! 1 !}=60

Posted by

Ajit Kumar Dubey

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