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Out of 5 women and four men a committee of three members is to be formed in such a way that at least one member is a woman , In how many different ways

this can be done ?
Ans : 80

explain me the answer in detail :


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If there are no restrictions,  3 members are to be selected from 9 people.
so 9C3  => 84
The number of ways of selecting all 3 members being men only from 4 men  = 4 C 3 = 4
=> answer = 84 - 4 = 80

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