Answer:
5040 ways
Step-by-step explanation:
Different orders in which people are seated are different outcomes. So we use the permutations formula to solve this problem.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
10 people on four seats
[tex]P_{(10,4)} = \frac{10!}{(10-4)!} = 5040[/tex]
5040 ways.