" on "10" boys and "6" girls,how many different selections can "

From 10 boys and 6 girls , how many different selections can be made so as to include at least one boy and one girl ?

From 8 boys and 5 girls , how many different selections of 5 members can be made so as to include at least one boy and one girl ?

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 the party be formed if two particular girls refuse to join the same party?

Suppose one girl or one boy has to be selected for a competition from a class comprising 17 boys and 29 girls. In how many different ways can this selection be made?

Suppose one girl or one boy has to be selected for a competition from a calss comprising 17 boys and 29 girls. In how many different ways can this selection be made?

Out of 9 girls and 13 boys how many different committees can be formed each consisting of 5 boys and 3 girls?

In a class, there are 15 boys and 10 girls. How many ways a teacher can select 1 boy and 1 girl to represent the class at a seminar.

In a class, there are 15 boys and 10 girls. How many ways a teacher can select 1 boy and 1 girl to represent the class at a seminar.