Suppose you can chose from 3 different shirts, 2 pairs of pants, and 5 pairs of shoes. Use the fundamental counting principle to find out how many different outfit combinations you can make.​

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Answer:

You can make 10 combinations.

Step-by-step explanation:

you can make 10 combinations because all you have to do is just add all the numbers then you get 10

We want to find the total number of combinations of outfits, given that we know the number of each type of clothes that you have.

Using basic counting, we will get that there are 30 different outfit combinations.

Let's see how to get that:

To count the total number of combinations, the first thing we need to find is the selections.

Here we have 3 selections:

  • Selection of shirt
  • Selection of pants
  • Selection of shoes.

Now we need to find the number of options for each one of these selections:

  • Selection of shirt (3 options)
  • Selection of pants (2 options)
  • Selection of shoes. (5 options)

To get the total number of combinations, we just need to multiply all of these numbers of options, we will get:

3*2*5 = 30

This means that there are 30 different outfit combinations.

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