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题库 / Prep2007E2-DS-12
Sets A, B, and C have some elements in common. If 16 elements are in both A and B, 17 elements are in both A and C, and 18 elements are in both B and C, how many elements do all three of the sets A, B, and C have in common?
(1) Of the 16 elements that are in both A and B, 9 elements are also in C.
(2) A has 25 elements, B has 30 elements, and C has 35 elements.
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.
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【图形集合题】
画3个圆，互相相交； 题干AB重合16，AC重合17，BC重合18，
1-9就是ABC三个共有的区域；充分
2-基数知道ABC分别的大小，加上题干的条件也不足以知道公共区域的大小，不充分；
选A
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