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

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:

In this question:

8 seats from a set of 12. So

They can sit in 19,958,400 ways