In how many ways can 5 person travel in a car, 2 including driver in the front seat and 3 in the back seat if 2 particular person out of five do not know driving?
It is given that, 5 persons can travel in a car. and out of them 2 didn't know driving.
So, there seating arrangement can be done as:
Number of persons who know driving = 3
Therefore, on driver seat out of 3 persons, 1 person can sit in 3C1 ways.
Now, 4 passenger seats were vacant in the car and in those seat any of the 4 person can seat in 4! ways.
Therefore, total number of ways in which 5 persons can travel in a car = 4! × 3C1
= 4 × 3 × 2 × 3 = 72