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27 March, 11:23

The president of a company gave two talks, one on Monday and one on Tuesday. A total of 405 employees attended the Monday talk, 275 attended the Tuesday talk and 55 went to both. How many employees attended at least one of the talks

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  1. 27 March, 11:34
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    625 employees

    Explanation:

    Given that,

    Let the Monday talk be A and the Tuesday talk be B,

    Employees attend Monday talk: I A I = 405

    Employees attend Tuesday talk: I B I = 275

    Employees attend both talks: I A ∩ B I = 55

    Employees attended at least one of the talks: I A ∪ B I

    = I A I + I B I - I A ∩ B I

    = 405 + 275 - 55

    = 625
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