Question

There are runners in a race. How many ways can the runners finish​ first, second, and​ third? There are nothing different ways that the runners can finish first through . ​(Type a whole​ number.)

Answer 1

Answer:

See Explanation Below

Step-by-step explanation:

Your question seem incomplete as the number of runners is omitted; However, I'll give a general guideline you can follow to solve questions like this

Assume that the number of runner is n;

The first position can be occupied by n persons

The second position can be occupied by n - 1 persons

The third position can be occupied by n - 2 persons

$Number\ of\ ways = n * (n - 1) * (n - 2)$

Now, let's assume n is 10

$Number\ of\ ways = 10 * (10 - 1) * (10 - 2)$

$Number\ of\ ways = 10 * 9 * 8$

$Number\ of\ ways = 720\ ways$

What if there are 50 runners?

You still apply the same logic and procedure;

This means that n = 50

$Number\ of\ ways = 50 * (50 - 1) * (50 - 2)$

$Number\ of\ ways = 50 * 49 * 48$

$Number\ of\ ways = 117600\ ways$

What if there are just 8 runners?

This means that n = 8

$Number\ of\ ways = 8 * (8 - 1) * (8 - 2)$

$Number\ of\ ways = 8 * 7 * 6$

$Number\ of\ ways = 336\ ways$

So, whatever the number of runner is, just follow the steps I highlighted; you'll get your answer.