Suppose the eight committee members are ranked and the seating arrangements matter based off of rank. In how many ways can they sit in the 12 possible chairs

Respuesta :

Answer:

They can sit in 19,958,400 ways

Step-by-step explanation:

The seating arrangements matter based off of rank, which means that 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:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this question:

8 seats from a set of 12. So

[tex]P_{(12,8)} = \frac{12!}{(12-8)!} = 19,958,400[/tex]

They can sit in 19,958,400 ways