• 设集合A={1,2,3,4,5,6},B={4,5,6,7,8},则满足S?A且S∩B≠?的集合S的???数是试题及答案-单选题-云返教育

    • 试题详情

      设集合A={1,2,3,4,5,6},B={4,5,6,7,8},则满足S?A且S∩B≠?的集合S的???数是         

      试题解答


      B
      集合A的子集有:{1},{2},{3},{4},{5},{6},{1,2},{1,3},{1,4},{1,5},…,{1,2,3,4,5,6},?,共64个;
      又S∩B≠?,B={4,5,6,7,8},
      所以S不能为:{1},{2},{3},{1,2},{1,3},{2,3},{1,2,3},?共8个,
      则满足S?A且S∩B≠?的集合S的个数是64-8=56.
      故选B
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