Representing Data — Unit test

Question 10 • AZ-Common Core Algebra II B

Ariana, Boris, Cecile, and Diego are students in the service club. Three of the four students will be chosen to attend a conference.Which choice represents the sample space, S, for this event?

Answer

S = {ABC, ABD, ACD, BCD}

S = {ABC, BCA, CDA, DAC}

S = {ABC, ABD, BAC, BDA, ACD, ADC, BCD, BDC}

S = {ABC, ABD, ACD, BCA, BCD, BDC, CAB, CBD, DAC, DBC}

Explanation

A sample outcome is a group of three students, so the order in which they are chosen does not matter. The four possible groups are ABC, ABD, ACD, and BCD—each formed by leaving out one of the four students. Therefore, choice A represents the sample space.

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