For the post of 5 teachers, there are 23 applicants, 2 posts are reserved for SC candidates and there are 7 SC candidates among the applicants. In how many ways can he selection be made?

Explanation

From among 7 SC candidates
2 are selected in `=\ ^7 C_2 `ways

and for remaining 3 post from
21 candidates `=\ ^21 C_3`

This can be done in `\ ^7 C_2 times \ ^21 C_3` ways.

The number of ways of making the selection `=\ ^7 C_2 times \ ^21 C_3=27930`