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You have 8 shirts, 13 pants, and 9 belts. How many combinations of outfits can you make if you use one shirt, one pair of pants and one belt in each outfit? a 187b 235c 936d 1021

1 Answer

4 votes

The given information is:

- You have 8 shirts

- 13 pants

- 9 belts

You need to figure out how many combinations of outfits you can make if you use 1 shirt, 1 pair of pants and 1 belt in each outfit.

We can apply the Fundamental Counting Principle to solve this problem, which states if you multiply the events together, you will obtain the total number of outcomes.

So:


\begin{gathered} S*P*B=O \\ \text{ Where S is the number of shirts, P is the number of pants,} \\ B\text{ is the number of belts and O is the number of outfits} \\ 8*13*9=936\text{ outfits} \end{gathered}

The answer is C. 936

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