Permutations and combinations

Question

If there is 12 players in the game you want to pick top 5.

During the game, top 5 players are displayed on the screen.

A)How many ways of the top 5 players that is displayed can it be rearranged at the end of the game?

B)If top 5 players got an award, how many combinations of player earning award is possible?

Answer 1

A) In first case order inside five top not play role and because we dill with combinations C(12,5) = 12!/[(12 - 5)!5!] = 12!/(7!·5!) = 792

B} In second case order play role, because we dill with permutations P(12, 5) = 12!/(12 - 5)! = 12!/7! = 95040