A class consists of 40 girls and 60 boys. In how many ways can a president, vice president, treasurer and secretary be chosen i th treasurer must be a girl, the secretary must be a boy and a student may not hold more than one office?

A class consists of 20 boys 10 girls. In how many ways can one boy and one girl be selected to represent the class at a function?

from a pool of 12 candidates in how many ways can we select president, vice-president, secretary and a treasurer if each of the 12 candidates can hold any office?

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 ?

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 ?

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 ?

In how many ways can 15 members be seated at a round table, if the secretary and vice-president are the neighbours of the president?

The math team at East High has 20 members .They want to choose a president , vice president, and treasurer . In how many ways can this be done ?

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?

There are 4 girls and 7 boys in a group. In how many waysa team of 5 members can be selected if (i) there is no girl in the team? (ii) there are at least 3 girls in the team? (iii) there are at least one boy and at least one girl in the team?

A committee of 7 members has to be formed from 9 boys and 4 girls. In how many ways can this be done when the committee consists of atmost three girls