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2 June, 03:54

Let the Universal Set, S, have 140 elements. A and B are subsets of S. Set A contains 76 elements and Set B contains 16 elements. If the total number of elements in either A or B is 91, how many elements are in A but not in B?

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  1. 2 June, 04:06
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    the number of elements are in A but not in B

    n (A-B) = 75

    Step-by-step explanation:

    Given universal set (S) = 140

    also given A and B are subsets of 'S'

    Given n (A) = 76, n (B) = 16 and n (AUB) = 91

    we have to find n (A-B) ?

    we can use formula

    n (A-B) = n (AUB) - n (B)

    = 91 - 16 = 75

    Final answer:-

    the number of elements are in A but not in B

    n (A-B) = 75
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