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Maddie visits the local thrift store to look for a Halloween costume.

She finds 5 shirts, 3 pants, and 4 pairs of shoes that can each go
together to make a different costume. How many possible
costumes consisting of 1 shirt, 1 pants, and 1 pair of shoes are
there for her to choose from?

1 Answer

5 votes

Final answer:

By applying the fundamental counting principle, we find that Maddie can create 60 different costumes by multiplying the number of options for shirts, pants, and shoes together (5 x 3 x 4).

Step-by-step explanation:

The question is asking about the number of different costumes Maddie can create using 1 shirt, 1 pair of pants, and 1 pair of shoes from a selection of 5 shirts, 3 pants, and 4 pairs of shoes.

The answer can be found by using the fundamental counting principle, which states that if there are n ways to do one thing, and m ways to do another, then there are n x m ways to do both.

Applying this principle, we multiply the number of choices for each item of clothing to get the total number of possible costumes:

5 (shirts) x 3 (pants) x 4 (shoes) = 60 different costumes.

Maddie, therefore, has 60 different possible costume combinations to choose from.

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