Question

First, second, and third prizes are to be awarded to three different people. If there are

8 eligible candidates, how many outcomes are possible?

Answer 1

Answer: So there is only 1 possible outcome when choosing 8 candidates out of a pool of 8, which is simply selecting all 8 candidates.

Step-by-step explanation: Assuming that the order of the candidates does not matter, the number of possible outcomes can be calculated by finding the number of ways to choose a group of 8 candidates out of a total of 8.

This can be represented by the combination formula:

nCr = n! / (r! * (n-r)!)

where n is the total number of candidates and r is the number of candidates to be chosen.

In this case, we have:

n = 8 (total number of candidates)

r = 8 (number of candidates to be chosen)

Therefore, the number of possible outcomes is:

8C8 = 8! / (8! * (8-8)!) = 1

So there is only 1 possible outcome when choosing 8 candidates out of a pool of 8, which is simply selecting all 8 candidates.