In how many ways can seven people sit in a seven-passenger car?
A)6,040
B)5,090
C)5,040
D)5,140
E)5,540

Question

In how many ways can seven people sit in a seven-passenger car? ​
A)6,040
B)5,090
C)5,040
D)5,140
E)5,540

Quizplus · Accepted Answer

There are 7 choices for the first passenger, then 6 choices for the second passenger, then 5 choices for the third passenger, and so on, until there is only 1 choice for the seventh passenger. Therefore, the total number of ways the people can sit is 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5,040. Therefore, the correct answer is (C).

In How Many Ways Can Seven People Sit in a Seven-Passenger