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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)` |
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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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