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John always wears a shirt, pants, socks, and shoes. He owns 12 pairs of socks, 3 pairs of shoes, 5 pairs of pants, and 5 shirts. How many different outfits can John make?

John always wears a shirt, pants, socks, and shoes. He owns 1212 pairs of socks, 33 pairs of shoes, 55 pairs of pants, and 55 shirts.\newlineHow many different outfits can John make?

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Full solution

Q. John always wears a shirt, pants, socks, and shoes. He owns 1212 pairs of socks, 33 pairs of shoes, 55 pairs of pants, and 55 shirts.\newlineHow many different outfits can John make?
  1. Socks Choices: John has 1212 pairs of socks. So, he can choose from 1212 different socks.
  2. Shoes Choices: He owns 33 pairs of shoes, which means he has 33 choices for shoes.
  3. Pants Choices: For pants, he's got 55 pairs, so that's 55 options for the pants.
  4. Shirts Choices: And he's got 55 shirts, giving him 55 choices for shirts.
  5. Total Outfit Options: To find the total number of different outfits, we multiply the number of choices for each item of clothing.\newlineSo, it's 1212 socks ×\times 33 shoes ×\times 55 pants ×\times 55 shirts.
  6. Calculation: Now, let's do the math: 12×3×5×5=180012 \times 3 \times 5 \times 5 = 1800.

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