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Math Help - Sets with cardinalities

  1. #1
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    Sets with cardinalities

    Let B1, B2, B3, B4 be sets with cardinalities given by |Bi| = 3i for 1 <= i <= 4. Calculate the cardinality of the Cartesian product set B1 x B2 x B3 x B4

    NOTE: for the B's, the numbers next to them are the little ones, you know?

    Basically, is this all I have to do:
    B1 has 3 elements, B2 has 6 elements, B3 has 9 elements and B4 has 12 elements thus B1xB2xB3xB4 has 3x6x9x12 = 1,944 elements

    Correct or not?
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  2. #2
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    Quote Originally Posted by brumby_3 View Post
    Let B1, B2, B3, B4 be sets with cardinalities given by |Bi| = 3i for 1 <= i <= 4. Calculate the cardinality of the Cartesian product set B1 x B2 x B3 x B4

    NOTE: for the B's, the numbers next to them are the little ones, you know?

    Basically, is this all I have to do:
    B1 has 3 elements, B2 has 6 elements, B3 has 9 elements and B4 has 12 elements thus B1xB2xB3xB4 has 3x6x9x12 = 1,944 elements

    Correct or not?
    Correct

    Tonio
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