There are 3 cookies left on the table. You realize that if you are quick, you may

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There are 3 cookies left on the table. You realize that if you are quick, you may get away with grabbing two before someone else grabs the third.

(a) How many pairs of cookies is it possible to pick from the 3 (the order is irrelevant)?

(b) What if the other guy got to grab one cookie, whereupon you grabbed two: how many different ways would there be for him to grab his one cookie?

(c) Why are these two answers the same?

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