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Question

A committee of five is to be chosen from a group of 8 people which include a married couple. The probability for the selected committee which may or may not have the married couple is.


A
(a) 1328
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B
(b)514
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C
(c)156
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D
(d)356
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Solution

The correct option is A (a) 1328
Total number of ways to select=8C5=56
case i)Includes the married couple than we have to choose 3 from 6 remaining people =6C3=20
case ii)Doesn't Includes the married couple than we have to choose 5 from 6 remaining people =6C5=6
Total favourable ways=26
Probability=26/56=13/28


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