Sammy has \(x\) flavors of candies with which to make goody bags for Franks birthday party. Sammy tosses out \(y\)

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Sammy has \(x\) flavors of candies with which to make goody bags for Franks birthday party. Sammy tosses out \(y\) flavors, because he doesn't like them. How many different \(10\)-flavor bags can Sammy make from the remaining flavors? (It doesn't matter how many candies are in a bag, only how many flavors).

1) If Sammy had thrown away \(2\) additional flavors of candy, he could have made exactly \(3,003\) different \(10\)-flavor bags.

2) \(x = y + 17\)

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