Question

Five people out of whom only two can drive are to be seated in a five seater car with two
seats in front and three in the rear. The people who know driving don’t sit together. Only
someone who knows driving can sit on the driver’s seat. Find the number of ways the five
people can be seated.

Answer 1

Answer:

36 ways

Step-by-step explanation:

for driver seat = 2 ways ( only 2 people know driving)

adjacent to driver seat = we have to choose out of 4 remaining people but among them only one who doesn't know driving can be seated ,i.e. 3 person. = 3C1 ways = 3 ways

rear part = 3 people 3 seats can be arranged on 3! = 6 ways

total ways = 2*3*6= 36 ways

Answer 2

Answer:

2 man can drive

3 man can seat near driver left remain drive

back 3 seats 3!

so total ways

2*3*3*2*1= 36