Question

There are $3$ candidates for a classical, $5$ for a mathematical, and $4$ for natural science scholarship. In how many ways can these scholarships be awarded (one scholarship per subject)

• A. $60$
• B. $30$
• C. $15$
• D. $20$

Answer 1

The correct option is A $60$

Scholarships are one per subject

$3$ candidates for classical

$5$ candidates for mathematical

$4$ candidates for natural science

Total ways ${}^3{C}_1\times {}^5{C}_1\times {}^4{C}_1$

$=3\times 5\times 4$

$=60$

A is correct.