设集合A={1,2,3,4},B={4,5},则满足S?A且S∩B≠?的集合S的个数为________.
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8
解析分析:S中一定含有4,根据A={1,2,3,4},S?A,可得S={4},{1,4},{2,4},{3,4},{1,2,4},{1,3,4},(2,3,4),{1,2,3,4},由此可得结论.
解答:由题意,S中一定含有4,∵A={1,2,3,4},S?A∴S={4},{1,4},{2,4},{3,4},{1,2,4},{1,3,4},(2,3,4),{1,2,3,4}故满足S?A且S∩B≠?的集合S的个数为8个故