Seven songs are to be rendered in a programme. In how many different orders could they be rendered?

Five girls and five boys are to be seated on a bench with the boys and girls alternating. Find the number of ways of their seating. In how many different ways could they sit around a circular table so that the boys and girls alternate ?

Carnallite consists of how many different compounds ?

Tell how many different angles would be formed by a transversal intersecting three parallel lines. How many different angle measures would there be?

Six papers are set in examination,two of them in mathematics: in how many different orders can the papers be given,provided only that the two mathematical papers are not successive?

If a matrix contain 5 elements, then how many different orders of matrices are possible ?

How many different compounds are present in carnallite?