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How many total clothing combinations can be created with 4 pairs of pants, 5 shirts, and 6 ties?

  1. 120

  2. 64

  3. 150

  4. 60

The correct answer is: 120

To determine the total number of clothing combinations that can be created with a set number of pants, shirts, and ties, you need to use the multiplication principle of counting. This principle states that if you can do one thing in a certain number of ways and another thing in a certain number of ways independently, the total combinations are the product of those two numbers. In this case, you have: - 4 pairs of pants - 5 shirts - 6 ties To find the total number of combinations, multiply the number of options for each clothing type together: Total combinations = (Number of pants) × (Number of shirts) × (Number of ties) Total combinations = 4 × 5 × 6 = 120 Thus, the correct answer is 120 combinations. Each piece of clothing can be paired freely with the others, which is why multiplying the quantities yields the total number of distinct outfits possible.