A Mathematics club has 15 members. In that 8 are girls. 6 of the members are to be selected for a competition and half of them should be girls. How many ways of these selections are possible?

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?

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?

We wish to select 6 person from 8 but , if the person A is choosen , then B must be choosen. In how many ways can selections be made?

(i) A kabaddi coach has 14 players ready to play. How many different teams of 7 players could the coach put on the court? (ii) There are 15 persons in a party and if , each 2 of them shakes hands wit each with each other. How many handshakes happen in the party? (iii) How many chords can be drawn through 20 points on a circle? (iv) In a parking lot one hunderd, one year old cars are parked. Out of them five are to be chosen at random for to check its pollution devices. How many different set of five cars are possible? (v) How many ways can a team of 3 boys, 2 girls and 1 transgender be selected from 5 boys, 4 girls and 2 transgender?

In a class there are 25 boys and 10 girls. The teacher wants to select 1 boy and 1 girl to represent the class in a competition. In how many ways can the teacher make the selection?