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From a group of 8 boys and 3 girls, a co...

From a group of 8 boys and 3 girls, a committee of 5 members to be formed. Find the probability that 2 particular girls are included in the committee.

A

`(4)/(11)`

B

`(2)/(11)`

C

`(6)/(11)`

D

`(8)/(11)`

Text Solution

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The correct Answer is:
B
Total number of ways
`=""^(8)C_(2)""^(3)C_(3)+""^(8)C_(3)""^(3)C_(2)+""^(8)C_(4)""^(3)C_(1)+""^(8)C_(5)""^(3)C_(0)`
`28xx1+56xx3+70xx3+56xx1`=462
Number of ways in which 2 particular girls are included
`""^(9)C_(3)=84`
`:.` Required probability `=(84)/(462)=(2)/(11)`
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