设全集U={1,2,3,4,5,6},集合A,B都是U的子集,若A交B={1,3,5}则称A,B为 理想配集 ,记{A,

1个回答

  • A B

    1.(1,3,5) (1,3,5)

    2.(1,3,5,2) (1,3,5)

    3.(1,3,5,4) (1,3,5)

    4.(1,3,5,6) (1,3,5)

    5.(1,3,5,2,4) (1,3,5)

    6.(1,3,5,2,6) (1,3,5)

    7.(1,3,5,4,6) (1,3,5)

    8.(1,3,5,2,4,6) (1,3,5)

    9.(1,3,5) (1,3,5,2)

    10.(1,3,5) (1,3,5,4)

    11.(1,3,5) (1,3,5,6)

    12.(1,3,5) (1,3,5,2,4)

    13.(1,3,5) (1,3,5,2,6)

    14.(1,3,5) (1,3,5,4,6)

    15.(1,3,5) (1,3,5,2,4,6)

    16.(1,3,5,2) (1,3,5,4)

    17.(1,3,5,2) (1,3,5,6)

    18.(1,3,5,4) (1,3,5,2)

    19.(1,3,5,4) (1,3,5,6)

    20.(1,3,5,6) (1,3,5,2)

    21.(1,3,5,6) (1,3,5,4)

    22.(1,3,5,2) (1,3,5,4,6)

    23.(1,3,5,4,6) (1,3,5,2)

    24.(1,3,5,4) (1,3,5,2,6)

    25.(1,3,5,2,6) (1,3,5,4)

    26.(1,3,5,6) (1,3,5,2,4)

    27.(1,3,5,2,4) (1,3,5,6)

    由于交集是1,3,5,所以A,B集合中都必有1,3,5

    A,B都只有3个元素,1种

    A有4个元素,B有3个元素,3种

    A有5个元素,B有3个元素,3种

    A有6个元素,B有3个元素,1种

    A有3个元素,B有4个元素,3种

    A有3个元素,B有5个元素,3种

    A有3个元素,B有6个元素,1种

    A有4个元素,B有4个元素,6种

    A有4个元素,B有5个元素,3种

    A有5个元素,B有4个元素,3种

    所以一共27组