Question

A car can accommodate $2$ persons in the front and $2$ persons in the rear seat. If among $6$ persons, $2$ can drive, then the number of ways in which the car can be filled is

• A. $10$
• B. $20$
• C. $30$
• D. none of these

Answer 1

The correct option is B $20$

Since $2$ person can drive the car, therefore we have to select $1$ from the two. this can be done in ${}^2{C}_1$ ways.

Now, from the remaining $5$ persons, we have to select $3$, this can be done in ${}^5{C}_3$ ways

Thus the required numbers of ways in which the car is filled ${=}^2{C}_1{\times }^5{C}_3=20$