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?

Options

A. 12
B. 20
C. 60
D. 64

Explanation

Clearly, Classical scholarship can be awarded to any one of the three candidates. So, there are 3 ways of awarding the Classical scholarship.
Similarly, Mathematical and Natural science scholarships can be awarded in 5 and 4 ways respectively. So,
Number of ways of awarding three scholarships
`=3xx5xx4=60`