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Candy Man Combinations
Sammy has x flavors of candies with which to make goody bags for Frank's
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
(A) Statement (1) alone is sufficient, but statement (2) alone is not
sufficient.
(B) Statement (2) alone is sufficient, but statement (1) alone is not
sufficient.
(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is
sufficient.
(D) Each statement ALONE is sufficient.
(E) Statements (1) and (2) TOGETHER are NOT sufficient.
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