Respuesta :

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.