In how many ways can a committee of five women and four men

Solution

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Selection of 5 women from 7 women is given by = 7C5

Selection ways of 4 men from 7 men is given by = 7C4

By fundamental principle of multiplication the total number of way are = 7C5 * 7C4

= (7!/(2!5!) ) * (7!/(3!4!) )

735 Solution

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