27.A party of 6 is to be formed from 10 boys and 7 girls so as to include 3 boys and 3 girls. in how many different ways can be formed if two particular girls refuse to join the same party.

Q. In how many ways can a committee of five be formed from amongst four boys and six girls so as to include exactly two girls?

Q. How many different boat parties of 8, consisting of 5 boys and 3 girls, can be made from 25 boys and 10 girls?

Q. $1)$ 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?

$2)$ 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:
$ii)$ At least $3$ girls?

$3)$ 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:
$iii)$ At most $3$ girls?

Q. In how many ways a committee of $5$ members to be formed out of $6$boys and $4$ girls if two girls are include in the committee.

Q. Consider a class of 5 girls and 7 boys. The number of different teams consisting of 2 girls and 3 boys that can be formed from this class, if there are two specific boys A and B, who refuse to be a member of same team, is :