How many ways can a club select a president, vice president, and a secretary from a group of 5 people?

60 ways

Step-by-step explanation:

If we have a total of 5 people, and we have to choose 3 of the 5 people, then you can organize the problem like this:

In the first slot, you have 5 options

_ _ _

5

In the second slot, you have only 4 options since you already picked someone

_ _ _

5 4

In the third slot you have 3 options, since you have already picked two other people

_ _ _

5 4 3

Then you just multiply the numbers, and voila! You have 60 different ways!

You could also organize it with a tree diagram to really see how this idea works. (See attached photo)