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    14 people buy item A while 13 people buy item B. Two people buy both items. How many people are there in all?
    Question

    14 people buy item A while 13 people buy item B. Two people buy both items. How many people are there in all?

    A.

    25

    B.

    26

    C.

    29

    D.

    27

    Correct option is A

    Given:

    People who bought item A = 14

    People who bought item B = 13

    People who bought both A and B = 2

    Solution:

    Total distinct people = A + B − (A ∩ B)

    =14 + 13 - 2 = 25

    Alternate Method :

    2 people bought both A and B

    So:

    Only A = 14 - 2 = 12

    Only B = 13 - 2 = 11

    Total distinct people = Only A + Only B + Both 

    =12 + 11 + 2 = 25

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