Question

A car will hold $2$ persons in the front seat and $1$ in the rear seat. If among six persons only two can drive, the number of ways, in which the car can be filled is :

• A. $10$
• B. $18$
• C. $20$
• D. $40$

Answer 1

The correct option is D $40$

No. of drivers $=2$
So, the drivers seat can be filled in ${}^2{C}_1$ ways i.e, $2$
Now, $5$ persons has to be arranged in $2$ vacant seats which can be done in $5\times 4=20$ ways
$\therefore$ Total number of ways
$=2\times 20=40$