Question

There are 10 contestants in a race. You want to determine how many ways there could be a

Answer 1

Answer:

720 different ways

Step-by-step explanation:

To decide whether you are doing a Permutation or Combination, ask yourself if order matters. If the order of things is important then it is a permutation question, if the order doesn't matter then it is a combination question.

In this case, the order is important because there is a difference who will be the first place winner, the second place winne and the third place winner.

Use permutation formula:

$P^{10}_3=\dfrac{10!}{(10-3)!}=\dfrac{10!}{7!}=\dfrac{7!\cdot 8\cdot 9\cdot 10}{7!}=8\cdot 9\cdot 10=720$