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?

Explanation

Scholarships are one per subject

3 candidates for classical

5 candidates for mathematical

4 candidates for natural science

Total ways `3_(C_1)​×5_(C_1)​×4_(C_1)​`

`=3×5×4`

`=60`