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

Question

dem82 [27]

3 years ago

11

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?

Mathematics

1 answer:

avanturin [10] · Answer 1 · 2022-03-23T20:01:42+03:00

Answer:

48

Step-by-step 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.