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4 boys and 2 girls occupy seats in a row...

4 boys and 2 girls occupy seats in a row at random. Then, the probability that two girls occupy seats side by side is

A

`(1)/(2)`

B

`(1)/(4)`

C

`(1)/(3)`

D

`(1)/(6)`

Text Solution

Verified by Experts

The correct Answer is:
C
Girls sit side by side, it means both girls are seated together in 2! Ways
Let E = 4 boys and 2 girls occupy seats side by side
Then `n(E )= 5! 2!`
`therefore` Required probability `=(5!2!)/(6!)=(2)/(6)=(1)/(3)`
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