A two member committee is to be formed out of $4$ men and $3$ ladies. Among the females Ms.A refuses to be member of the committee if Mr.B is a member. In how many ways the committee can be formed?

20

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21

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25

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15

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Solution

The correct option is A $20$
If Ms A is selected , then no of ways of forming committee $=^{5} C_{1} = 5$
If Mr B is selected , then no of ways of forming committee $=^{5} C_{1} = 5$
If both Ms A and Mr B are not selected $=^{5} C_{2} = 10$
Total $= 20$

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