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题库 / GMATAdvanced-DS-1
The cardinality of a finite set is the number of elements in the set. What is the cardinality of setA?
(1)2 is the cardinality of exactly 6 subsets of set A.
(2)Set A has a total of 16 subsets,including the empty set and set A itself.
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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集合子集的个数=2^n, 包含集合本身和空集。n等于元素的个数。一个集合中，任何两个元素都认为是不相同的，即每个元素只能出现一次。
运用排列组合的方法：从有n个元素的集合中抽出m个元素，构成的子集数=C(n,m)。
(1)从集合A里抽2个元素能构成6个子集，C(n,2)=6, n=4, A里元素的个数为4.
(2)集合A总共有16个子集，包括空集和集合本身，2^n=16, n=4，A里元素的个数为4.
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