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A teacher and 8 students are to be seated along a bench in the bleachers at a basketball game. In how many ways can this be done if the teacher must be seated in the middle and a difficult student must sit to the teacher's immediate left

Respuesta :

Using the arrangements formula, it is found that there are 5040 ways for the teacher and the eight students to seat.

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, the teacher and the difficult student have fixed positions, while the other students are arranged in 7 ways, hence:

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

There are 5040 ways for the teacher and the eight students to seat.

More can be learned about the arrangements formula at https://brainly.com/question/24648661

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