Charlie has 4 pairs of shoes, 12 shirts, 5 pairs of pants, and 3 watches. How many distinct outfits (one item from each category) can he wear without repeating a combination?

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Multiple Choice

Charlie has 4 pairs of shoes, 12 shirts, 5 pairs of pants, and 3 watches. How many distinct outfits (one item from each category) can he wear without repeating a combination?

Explanation:
The multiplication principle is the idea here: you form an outfit by choosing one item from each category, so the total number of outfits is the product of the numbers of options in each category. There are 4 shoes, 12 shirts, 5 pants, and 3 watches. Multiply them: 4 × 12 × 5 × 3 = 720. So there are 720 distinct outfits. The other numbers would only arise if some choices were restricted or overlaps counted, but with each category independent, the exact count comes from the product.

The multiplication principle is the idea here: you form an outfit by choosing one item from each category, so the total number of outfits is the product of the numbers of options in each category. There are 4 shoes, 12 shirts, 5 pants, and 3 watches. Multiply them: 4 × 12 × 5 × 3 = 720. So there are 720 distinct outfits. The other numbers would only arise if some choices were restricted or overlaps counted, but with each category independent, the exact count comes from the product.

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