In a sweepstakes with seven hundred entries the first winner

In a sweepstakes with seven hundred entries, the first winner selected receives the grand prize, the second receives first prize, and so on until all thirty-five prizes are awarded.

A.) How many possible outcomes are there?

B.) Is this solution found using permutation or combination?

Solution

Its a permutaion problem.

The first prize any of 900. The second prize any of 899
the third prize any of 898 up to and including the thirtieth prize any of 871

P( 900, 30) = 900!/870! = 900*899*898*...871