1.

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)`

Answer» Correct Answer - 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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