Respuesta :

Kassian

You would multiply 7x6x5x4x3x2x1 to get your answer.

 Because there are 7 runners that can get 1st, 6 runners that can get 2nd, 5 runners that can get 3rd, and so on.

7x6x5x4x3x2x1= 5040 different possible combinations.

Using the arrangements formula, it is found that the runners can cross the line in 5040 different orders.

What is the arrangements formula?

The number of possible arrangements of n elements is given by the factorial of n, that is:

[tex]A_n = n![/tex]

In this problem, there are 7 runners, arranged in 7 positions, hence the number of different orders in which they can cross the finish line is given by:

[tex]A_7 = 7! = 5040[/tex].

More can be learned about the arrangements formula at https://brainly.com/question/25925367

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