There are 8 exhibits how many different ways can you visit them?

Select any one of the eight to visit first, select one of the remaining seven to visit next, then one of the remaining six to visit next..........and so on.

There are 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 8! (8 factorial) = 40320 different ways.