First- , second- , and third-place prizes are to be awarded in a couples dance contest in which 34 contestants are entered. In how many ways can the prizes be awarded?

The prizes can be awarded in 35904 ways.

Step-by-step explanation:

The order is important.

For example, John winning prize A, Laura prize B and Jonathan prize C is a different outcome than Laura winning prize A, John winning prize B and Jonathan winning prize C.

So we use the permutations formula to solve this problem:

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

In how many ways can the prizes be awarded?

Three prizes divided among 34 contestants. So

The prizes can be awarded in 35904 ways.

1. minimum

2. 6400

3. eight

hope this !

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11 -1> 1 -1+ a

-12 > a