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4 people are to be chosen from 10 men and 12 women to form a committee...

4 people are to be chosen from 10 men and 12 women to form a committee which contains at least two women. How many different ways can the committee be formed? If, among the 10 men and 12 women, Mr. and Mrs. Smith can not both be selected, then how many different ways can the committee be formed?

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Answer #1

Any doubt in any step then comment below.. i will explain you..

In 2nd part ... When mr mr and mrs smit both can not be selected...

There we take 2 case ...

1st - mrs smit selected ....so now we select 3 more people in which atleast 1 women.. we have women avialable be 11 and since mrs smit is selected so we not take mr smit , therefore available men be 9 ...

Like this we do in 2nd case...where we not take mrs smit...

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