Suppose we want to choose 2 colors, without replacement, from the 5 colors red, blue, green, purple, and yellow. (a) How many

Question

Suppose we want to choose 2 colors, without replacement, from the 5 colors red, blue, green, purple, and yellow.
(a) How many ways can this be done, if the order of the choices matters?
(b) How many ways can this be done, if the order of the choices does not matter?

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