A lottery game consists of the host removing one ball at a time from an opaque jar. Each ball has one of the digits (0 – 9) written on it, and no two have the same number on them. If the host removes three balls without replacement, what is the probability that the sum of the numbers written on the balls equals 24?

4! = 24

Step-by-step explanation:

You can choose one of the four letters to be the first one. That's four different possibilities. Next, for the second letter, you have 3 letters to choose from, that gives you 3 possibilities for each of the four previous possibilities. That's 12 possibilities total. For the third letter, you can choose from 2 remaining letters, giving you 2 possibilities for each of the 12 earlier possibilities. That's a total of 24 possibilities. Finally, you have only one choice (no choice) for the last letter. That leaves you at 24.