Question

At the Bristol County Fair, there is a baking contest that awards a first prize and a second prize to the best pies baked. There are 56 entrants to the contest this year.

In order to determine how many ways there are to award prizes, you should use a __[blank 1]__. There are __[blank 2]__ ways to award the prizes.

Enter either the word permutation or the word combination for blank 1, and then enter the number that correctly fills in blank 2.

Answer 1

1: Permutation

2: 3080

Explanation:

As order matters, (first place as opposed to second place) this must be a permutation.

For first place, there are 56 different contestants that could win it, while once first place is selected, there are only 55 to get second. This means that

56*55=3080