A regular polygon of 10 sides is constructed. In how many way can 3 vertices be selected so that no two vertices are consecutive?

In how many ways can 5 girls and 3 boys be seated in a row so that no two boys are together?

In how many ways 5 persons can be seated in a row ?

In how many ways 5 boys and 4 girls can be seated in a row so that no two girls are together.

In how many ways can 8 students be arranged in a row?

A regular polygon of 10 sides is constructed. Triangles are formed joining vertices of the polygon. Find the number of triangles (i) if two sides of trinangle coincide with the sides of polygon. (ii) if only one side of triangle coincide with the side of polygon.

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

In how many ways can 6 persons stand in a queue?

There are 15 candidates for an examination . 7 candidates are appearing for mathematics examination while the remaining 8 are appearing for different subjects. In how many ways can they be seated in a row so that no two mathematics candidates are together ?