Question

In a class there are $10$ boys and $8$ girls. The teacher wants to select either a boy or a girl to represent the class in a function. The number of ways the teacher can make this selection.

• A. $18$
• B. ${}^1{}^0{P}_8$
• C. $80$
• D. ${}^1{}^0{C}_8$

Answer 1

Answer: (A)

There are $10$ boys and $8$ girls in a class.
The teacher wants to select just one to represent the class.
One boy out of $10$ can be selected in $10$ ways.
Similarly, one girl out of $8$ can be selected in $8$ ways.
So, if he has to select either a boy OR a girl, he can do it in total $10+8$ number of ways. i.e $18$