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From a group of 4 men ,3 women , 2 perso...

From a group of 4 men ,3 women , 2 persons are selected at random, find the probability at least one man is selected ?

A

`(6)/(7)`

B

`(7)/(6)`

C

`(5)/(6)`

D

`(11)/(21)`

Text Solution

Verified by Experts

The correct Answer is:
A
`""^(7)C_(2)=(7xx6)/(2)=21`
`""^(4)C_(1)xx""^(3)C_(1)+""^(4)C_(2)=4xx3+(4xx3)/(2)`
`=4xx3+(4xx3)/(2)=12+6=18`
`P=(18)/(21)=(6)/(7)`
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