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5 May, 07:54

If A and B are finite sets, say with n and m elements respectively, what can you say regarding the sizes of A ∪ B? A ∩ B? A - B?

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  1. 5 May, 08:50
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    Answer with explanation:

    There are two sets A and B having n and m elements.

    N (A) = n

    N (B) = m

    →N (A ∪ B) = Common as well as non common elements of Set A and Set B.

    So, N (A∪B) ≤ m + n

    →N (A∩B) = Common elements of Both A and B

    N (A∩B)
    N (A∩B)
    → N (A∩B) = m or n or m-n or n-m, depending on m>n, or, n> m or if, m=n.

    →N (A-B) = Common elements of set A is excluded from set B and remaining elements are written

    =n, if there is no common element

    = n-m, if there is some common element.
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