Question

There are $4$ candidates for a Natural science scholarship, $2$ for a Classical and $6$ for a Mathematical scholarship,then find No. of ways these scholarships can be awarded is,

• A. $48$
• B. $12$
• C. $24$
• D. $8$

Answer 1

The correct option is A $48$

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.

Hence, by fundamental principle of multiplication, number of ways of awarding these scholarships $=4\times 2\times 6=48$

Hence option-$A$