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.)

Question

Mathematics

Javan

22 February, 04:25

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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Answers (1)

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Agustin Bruce · Answer 1

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}