A committee of 4 students is selected at random from a grourp consisting of 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.

A committee of 5 is to be formed from a group of 12 students consisting of 8 boys and 4 girls in how many ways can the committee be formed it contains at least 3 girls ?

A committee of 5 is to be formed from a group of 12 students consisting of 8 boys and 4 girls in how many ways can the committee be formed it consists of exactly 3 boys and 2 girls ,

A committee of 4 is to be selected from amongest 5 boys and 6 girls . In how many ways can this be done so as to include (i) exacity one girls ,(ii) at least one girl?

A committee of 5 persons is to be formed from a group of 6 gentleman and 4 ladies. In how many ways can this be done if the committee is to include at least one lady ?

A committee of 4 persons has to be chosen from 8 boys and 6 girls, consisting of at least one girl. Find the probability that the committee consists of more girls than boys.

A class has 12 boys and 4 girls. If three students are selected at random from the class, what is the probability that all will be boys?

A committee of 6 is to be formed out of 4 boys and 6 girls. In how many ways can it be done so that the girls may not be out numbered?

A committee of three persons is to be randomly selected from a group of three men and two women and the chair person will be randomly selected from 2 woman and 1 men for the committee. The probability that the committee will have exactly two woman and one man and that the chair person will be a woman, is

6 boys and 6 girls sit in a row at random. Find the probability that all the girls sit together.

6 boys and 6 girls sit in a row at random. Find the probability that all the girls sit together.