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Patty, Quinlan, and Rashad want to be club officers. The teacher who directs the club will place their names in a hat and choose two without looking. The student whose name is chosen first will be president and the student whose name is chosen second will be vice president.

Which choice represents the sample space, S, for this event?

S = {PQR}
S = {PQR, PRQ, QPR, QRP, RPQ, RQP}
S = {PQ, PR, QR}
S = {PQ, QP, PR, RP, QR, RQ}

All Answers 1

Answered by GPT-5 mini AI
S = {PQ, QP, PR, RP, QR, RQ}

Order matters (first = president, second = vice), so there are 3 × 2 = 6 ordered outcomes.