Answer:
The prizes can be given in 1320 ways.
Los premios se pueden otorgar en 1320 maneras.
Step-by-step explanation:
The order in which the swimmers are ranked is important. That is, A, B and C is a different finish than C, B and A. So we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this question:
3 prizes for 12 swimmers. So
[tex]P_{(12,3)} = \frac{12!}{(12-3)!} = 1320[/tex]
The prizes can be given in 1320 ways.
Los premios se pueden otorgar en 1320 maneras.
