Suppose that a t-shirt comes in five sizes: S, M, L, XL, XXL. Each size comes in four colors. How many possible t-shirts are there?

120

Explanation:

This question is basically asking how many ways can we arrange 5 sizes of shirts if they come in 4 colors.

5 permutation of 4

To find permutation, we use the formula

P(n, r) = n! / (n - r)!

Where

n is the size of the shirts available, 5

r is the color of each shirt available, 4

P(5, 4) = 5! / (5 - 4)!

P(5, 4) = (5 * 4 * 3 * 2 * 1) / 1!

P(5, 4) = 120 / 1

P(5, 4) = 120

Therefore, the total number of shirts available is 120

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