Question

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 is A. 2 3 B. 4 9 C. 1 2 D. 5 9 Select the correct answer from above options

Answer 1

Correct Answer - B From a group of 9 people, 5 people can be chosen in .9C5 ways. ∴ Total number of ways of forming the committee =.9C5 The number of ways in which a certain married couple is either in the committee or it is not included in the committee, is .7C3×.2C2+.7C5 Hence, required probability = .7C3+.7C5 .9C5 = 4 9