Data Sufficiency

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) \(x = y + 17\)

OA D