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30 July, 04:49

Let A and B be subsets of a universal set U and suppose n (U) = 400, n (A) = 135, n (B) = 80, and n (A n B) = 60. Find the number of elements in the set n (Ac n Bc)

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  1. 30 July, 04:53
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    Use A' for A complement, etc. and n = intersection ∩.

    n (A' n B')

    =n (A u B) ' by the de Morgan's law

    =nU-n (nA+nB-n (AnB)) n (A u B) = nA + nB - n (AnB) and nX'=nU-nX

    =400 - (135+80-60)

    =400-155

    =245
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