In a choir, each singer is required to wear a t-shirt, trousers, and a jacket, ensuring that no two singers have identical outfits. If jackets come in four distinct colors, t-shirts in seven different colors, and trousers in five different colors, how many unique outfits can be created?

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140

Correct

1400

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Explanation

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Official Explanation

Official

Since no two outfits can be the same and all colors must differ, we calculate the total combinations as follows: 4C1 (for jackets) * 7C1 (for t-shirts) * 5C1…

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Comments

ThomasJul 3, 2024

thanks a lot

KyleFeb 10, 2024

Great!

What this question tests

What it tests

Whether you can count arrangements and selections correctly — permutations vs. combinations.

Common trap

Overcounting: treating a selection as ordered when order does not matter, or forgetting to divide by duplicates.