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6 boys and 6 girls sit in a row at rando...

6 boys and 6 girls sit in a row at random. Find the probability that all the girls sit together.

A

`(1)/(432)`

B

`(12)/(431)`

C

`(1)/(132)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
(c) If all the girls sit together, then considered it as 1 group.
`therefore"Arrangement of 6 +1 = 7 person in a row is 7! and the girls interchanges their seets in 6! ways." `
`therefore " Required probability "=(6!7!)/(12!)=(1)/(132)`
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