• # question_answer A car will hold 2 in the front seat and 1 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

Since 2 persons can drive the car, therefore we have to select 1 from these two. This can be done in $^{2}{{C}_{1}}$ ways. Now from the remaining 5 persons we have to select 2 which can be done in $^{5}{{C}_{2}}$ ways. Therefore the required number of ways in which the car can be filled is $^{5}{{C}_{2}}{{\times }^{2}}{{C}_{1}}=20$.