Question

Among the $36$ teachers in a school, one principal and one vice-principal are to be appointed. In how many ways this can be done?

• A. $1060$
• B. $1160$
• C. $1206$
• D. $1260$

Answer 1

Answer: (D)

$1260$

Number of teachers$=36$.

The number of ways to appoint a principal from the 36 teachers $=36$

And the number of ways to appoint a vice-principal from the remaining $35$ teacher in $=35$

Thus the total number of ways to appoint a principal and a vice principal $=35\times 36=1260$