A committee of 5 members is to be selected from among 6 boys and 5 girls. Determine the number of ways of selecting the committee if it is to Consist of at least one boy and one girl.

A committee of 3 members is to be formed out of 5 men and 2 women. Find the number of ways of selecting the committee if it is to consist of at least one woman .

A committee of 2 boys is to be selected from 4 boys. In how many ways can this be done ?

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: exactly 3 girls ?

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: atmost 3 girls ?

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: atleast 3 girls ?

Determine the number of ways of choosing 5 cards out of a deck of 52 cards which include at least one king.

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 : at least three girls.

A committee of 7 has to be formed from 9 boys and 4 girls. In how many wasy can this be done, when the committee consists of: at least 3 girls?

A committee of 4 students is selected at random from a group consisting 8 boys and 4 girls. Given that there is at least one girl in the committee, calculate the probability that there are exactly 2 girls in the committee.

From a group of 2 boys and 3 girls, two children are selected at random. Describe the event : B: the selected group consists of one boy and one girl.