# MATH combinatorics

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miguel line sup 5 cups of pop (labelled Cup 1, 2, 3, 4, 5) on a table. sandra then tastes each cup and records "D" if she thinks its diet pop or "R" if she thinks its regular pop.
a. how many different ways can the Ds and Rs be recorded if sandra guesses which cups have diet and which have regular pop?
b. if sandra knew there were 3 cups of diet pop and 2 cups of regular pop on the table, how many different ways can the Ds and Rs be recorded?

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