Question

Including Jose, there are eight people in his family.

If order matters, how many ways can he arrange his family members into a row of five seats if Jose must sit in the first seat?
O 35
O 840
O 1,680
0 2,620

Answer 1

The answer is B on Edge 2020

Explanation:

I did the Exam

Answer 2

840

Explanation:

Since the order matters, we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

`P_((n,x)) = (n!)/((n-x)!)`

In this question:

The first seat is Jose's.

The remaining four are organized among the other 7 members. So

`P_((7,4)) = (7!)/((7-4)!) = 840`

So the correct answer is:

840