A committee of five is to be chosen from a group of 9 people. The probability that a certain married couple will either serve together or not at all isA. `(2)/(3)`B. `(4)/(9)`C. `(1)/(2)`D. `(5)/(9)`

A committee of five is to be chosen from a group of 9 people. The prob

1.	A committee of five is to be chosen from a group of 9 people. The probability that a certain married couple will either serve together or not at all isA. `(2)/(3)`B. `(4)/(9)`C. `(1)/(2)`D. `(5)/(9)`
Answer» Correct Answer - B From a group of 9 people, 5 people can be chosen in `.^(9)C_(5)` ways. `therefore` Total number of ways of forming the committee `=.^(9)C_(5)` The number of ways in which a certain married couple is either in the committee or it is not included in the committee, is `.^(7)C_(3)xx .^(2)C_(2)+ .^(7)C_(5)` Hence, required probability `=(.^(7)C_(3)+ .^(7)C_(5))/(.^(9)C_(5))=(4)/(9)`

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A committee of five is to be chosen from a group of 9 people. The probability that a certain married couple will either serve together or not at all isA. `(2)/(3)`B. `(4)/(9)`C. `(1)/(2)`D. `(5)/(9)`

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