Question

There are 5 very different seats in a car. In how many ways can 5 different people be seated in the car for a road trip if only 2 of them know how to drive?

Answer 1

48

Explanation:

Let A and B be the two people who are able to drive. If A is driving, there are 4! ways to arrange the remaining peoplein the car seats. If B is driving, there are also 4! ways to arrange the remaining people. The number of arrangements 'n' is:

`n=2*4!\\n=2*4*3*2*1\\n=48\ ways`

They can be arranged in 48 ways.