patty, quinlan, and rashad want to be club officers. the teacher who directs the club will place their names…

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? o s = {pqr} o s = {pqr, prq, qpr, qrp, rpq, rqp} o s = {pq, pr, qr} o s = {pq, qp, pr, rp, qr, rq}

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? o s = {pqr} o s = {pqr, prq, qpr, qrp, rpq, rqp} o s = {pq, pr, qr} o s = {pq, qp, pr, rp, qr, rq}

Answer

Explanation:

Step1: Understand sample - space concept

The sample space is the set of all possible outcomes. Here, we are choosing 2 out of 3 people (Patty - P, Quinlan - Q, Rashad - R) for president and vice - president positions. Order matters as the first - chosen is president and the second is vice - president.

Step2: List all possible pairs

If P is chosen first, the second can be Q (PQ) or R (PR). If Q is chosen first, the second can be P (QP) or R (QR). If R is chosen first, the second can be P (RP) or Q (RQ).

Answer:

D. S = {PQ, QP, PR, RP, QR, RQ}