In how many ways can a selection of 4 be made from 10 persons such that one particular person is always included

In how many ways can a selection of 4 be made from 10 persons such that one particular person is always excluded?

In how many ways can one post 3 letters in 5 post boxes?

In how many ways can 5 boys and 3 girls stand in a row such that no two girls are together?

How many 5-member commitees can be formed from 8 teachers and 3 students so that a particular teacher is always selected for each committee?

How many types of matrices can be formed from 11 elements ?

How many types of matrices can be formed from 8 elements ?

From 10 boys and 20 girls, a committee of 2 boys and 3 girls is to be formed. In how many ways can this be done if a particular boy is included

From 10 boys and 20 girls, a committee of 2 boys and 3 girls is to be formed. In how many ways can this be done if a particular girl is included

A group consists of 4 girls and 7 boys.Ion how many ways can a tean of 5 members be selected so that the team has at least one boy and one girl?

In how many ways can the letters in the word GUWAHATI be arranged such that all the vowels are together