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    Set Sizes

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    Find the number of elements in A_1 [the union of] A_2 [the union of] A_3 if there are 100 elements in A_1, 1000 in A_2, and 10,000 in A_3 if:

    a) A_1 [is a subset of] A_s and A_2 [is a subset of] A_3.

    b) the sets are pairwise disjoint.

    c) there are two elements common to each pair of sets and one element in all three sets.

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    Solution Summary

    We compute the cardinality of various combinations of three sets of given cardinalities.