At the Chairman of the Boards Club only chess, checkers, and backgammon are
played. If there are 100 players in the club and all players play at least two
types of games, how many play both backgammon and chess?
(1) 20 players play both checkers and backgammon.
(2) 30 players play both chess and checkers.

A) if statement I alone is sufficient to answer the question, but statement 2
alone is not sufficient
B) if statement 2 alone is sufficient to answer the question, but statement I
alone is not sufficient
C) if both statements together are needed to answer the question, but neither
statement alone Is sufficient
D) if either statement by itself is sufficient to answer the question
E) if not enough facts are given to answer the question