There are 3 condidates for a Classical; 5 for a Mathematical and 4 for a Natural science scholarship.(i)In how many ways can these scholarship be awarded ? (ii) In how many ways one of these scholarships be awarded?

EXAMPL.E 1There are 3 candidates for a Classical,5 for a Mathematical,and 4 for a Natural sciencescholarship.(i) In how many ways can these scholarships be awarded? (ii) In how many ways one of these scholarships be awarded?

There are 3 candidates for a classical,5 for a Mathematical,and 4 for a Natural science scholarship.In how many ways can these scholarships be awarded? In how many ways one of these scholarships be awarded?

In how many ways can 5 keys be put in a ring

In how many ways can 5 children stand in a queue?

In how many ways can 5 children stand in a queue?

In how many ways can 6 persons be arranged in (i) a line, (ii) a circle?

There are 12 boys and 8 girls in a class (i) In how many ways can a boy be selected? (ii) In how many ways can one boy and one girl be selected?

In how many ways can 5 persons occupy 3 vacant seats?