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A committee of 7 has to be formed 9 boys...

A committee of 7 has to be formed 9 boys and 4 girls. In how many ways can this be done when the committee consists of :
atleast 3 girls ?

Text Solution

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Committee has atleast 3 girls.
`rArr` (3 girls and 4 boys) or (4 girls and 3 boys)
`therefore` the required number of ways `= .^(4)C_(3).^(9)C_(4)+.^(4)C_(4).^(9)C_(3)`
`= (4) (126)+(1) (84)`
`= 504+84=588`
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