Achmed discovers that he can create 64 unique outfits by mixing and matching his jackets, shirts, and trousers. If he has 4 jackets and 4 pairs of trousers, how many shirts does he possess?

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Achmed discovers that he can create 64 unique outfits by mixing and matching his jackets, shirts, and trousers. If he has 4 jackets and 4 pairs of trousers, how many shirts does he possess? If Achmed owns A jackets, B shirts, and C pairs of trousers, then the Fundamental Counting…

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Comments

MrinmoyJan 1, 2025

Any shortcuts for solving this faster?

SUMANApr 2, 2025

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.