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A committee of 5 is to be choosen from a group of 9 people. The probability that a certain couple wil either serve together or not at all is


ROHIT 16th Nov, 2018
Answer (1)
Vikas gehlot 17th Nov, 2018

The Total Number of all the possible ways of Selection is 9C5=126

Now if there is a certain couple which is To be Placed Together, then You can consider them One so that they will be placed Together,

Now there arise two cases.

If a couple is selected, then we need to select only 3 out of 7 that is 7C3=35

If the couple is Not selected then we need to select 5 out of 7that is 7C5=21

Therefore Probability =(35+21)/126=56/126=0.45

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