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A committee of 7 has to be formed from...

A committee of 7 has to be formed from 9 boys and 4 girls. In how many ways can this be done when the committee consists of: (i) exactly 3 girls (ii) atleast 3 girls (iii) atmost 3 girls

Text Solution

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(i) `g=3,b=4`
total ways = `.^4C_3.^9C_4`
`=4*(9*8*7*6)/(4*3*2) = 63*8`
`=504`
(ii) `g= 3 or 4`
total ways =`.^4C_3 .^9C_4 + .^4C_4.^9C_3`
`4*(9*8*7*6*5)/(5*4*3*2) + (9*8*7)/(3*2)`
`= 504+84`
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