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  • In how many ways 18 different cars can be divided into three groups in such a way that they get three, seven and eight cars?Option: 1 <img

In how many ways 18 different cars can be divided into three groups in such a way that they get three, seven and eight cars?

Option: 1

5250960


Option: 2

6126122


Option: 3

5250950


Option: 4

6126120


Answers (1)

best_answer

Number of ways of dividing  \left.(m+n+p)(where m \neq n \neq p\right) things into three unequal

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

Here m=3, n=7, p=8

Then, the total number of ways:

\frac{18 !}{3 ! 7 ! 8 !}=5250960

Posted by

sudhir kumar

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