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A group consists of 4 girls and 7 boys....

A group consists of 4 girls and 7 boys. In how many ways can a team of 5 members be selected if the team has (i) no girl ? (ii) at least one boy and one girl ?(iii) at least 3 girls ?

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The team does not include any girl therefore, only boys are to be selected. 5 boys out of 7 boys can be selected in `7C_5`ways.
`7C_5` =21.
Since, at least one boy and one girl are to be there in every team. The team consist of
(a) 1 boy and 4 girls
`7C_1`×`4C_4`
= 7
(b) 2 boy and 3 girls
...
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