If a wardrobe contains 7 ties, 5 pants, and 3 shirts, how many different outfits are possible if you wear one item from each category?

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Multiple Choice

If a wardrobe contains 7 ties, 5 pants, and 3 shirts, how many different outfits are possible if you wear one item from each category?

Explanation:
This problem uses the multiplication principle for counting independent choices. You pick one item from each category, and the choices don’t affect each other. There are 7 ties, 5 pants, and 3 shirts, so for every tie you can pair it with any of the 5 pants and any of the 3 shirts. Multiply the options: 7 × 5 × 3 = 105. So there are 105 different outfits.

This problem uses the multiplication principle for counting independent choices. You pick one item from each category, and the choices don’t affect each other. There are 7 ties, 5 pants, and 3 shirts, so for every tie you can pair it with any of the 5 pants and any of the 3 shirts. Multiply the options: 7 × 5 × 3 = 105. So there are 105 different outfits.

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