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Lillian is trying to pick out an outfit for the first day of school. She can choose from 6 pairs of pants, 8 t-shirts, 4 sweaters or hoodies, and 3 pairs of shoes. How many different outfits does Lillian have to choose from?

a. 48 outfits
b. 120 outfits
c. 192 outfits
d. 144 outfits

1 Answer

4 votes

Final answer:

Lillian has 576 different outfits to choose from for her first day of school, calculated by multiplying the choice options for pants, t-shirts, sweaters/hoodies, and shoes.

Step-by-step explanation:

The question is asking how many different outfits Lillian has to choose from for her first day of school. When solving problems involving combinations of different options, you multiply the number of choices for each category. Lillian has 6 pairs of pants, 8 t-shirts, 4 sweaters or hoodies, and 3 pairs of shoes to choose from.

To find the total number of different outfits, calculate:

6 (pairs of pants) × 8 (t-shirts) × 4 (sweaters/hoodies) × 3 (pairs of shoes) = 576 outfits.

Therefore, Lillian has 576 different outfits to choose from, which is not listed in the options provided, indicating a possible misprint in the question.

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