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24 June, 17:29

A group of five applicants for a pair of identical jobs consists of three men and two women. The employer is to select two of the five applicants for the jobs. Let S denote the set of all possible outcomes for the employer's selection. Let A denote the subset of outcomes corresponding to the selection of two men and B the subset corresponding to the selection of at least one woman. List the outcomes in A, B, A ∪ B, A ∩ B, and A ∩ B. (Denote the different men and women by M1, M2, M3 and W1, W2, respectively.)

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  1. 24 June, 17:56
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    A = {M1, M2},{M2, M3}, {M2, M3}

    A U B = S

    A n B = 0

    A n B' = A

    Step-by-step explanation:

    A = (Two males) = { (M1, M2), (M2, M3), (M2, M3)

    B = (Atleast one female) = {M1, W1}, {M, W1}, {M3, W1}, {M1, W2}, {M2, W2}, {M3, W2}
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