Question

There are 44 candidates for a Natural science scholarship, 22 for a Classical and 66 for a Mathematical scholarship,then find the no. of ways one of these scholarship can be awarded is,

• A. $6$
• B. $10$
• C. $48$
• D. $12$

Answer 1

Answer: (D)

$12$

Natural science scholarship can be awarded to anyone of the four candidates. So, there are $4$ ways of awarding natural science scholarships.

Similarly, mathematical and classical scholarships can be awarded in $2$ and $6$ ways respectively.

By the fundamental principle of addition, number of ways of awarding one of the three scholarships is
$=4+2+6=12$

Hence option-$D$