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Five boys and three girls are sitting in...

Five boys and three girls are sitting in a row of `8` seats. Number of ways in which they can be seated so that not all the girls sit side by side is

A

A. `36000`

B

B. `9080`

C

C. `3960`

D

D. `11600`

Text Solution

Verified by Experts

The correct Answer is:
A
`(a)` Total no. of arrangement if all the girls do not seat side by side
`=["all arrangement"-"girls seat side by side"]`
`=8!-(6!xx3!)`
`=6!(56-6)=6!xx50`
`=720xx50=36000`
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