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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?
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}
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Answered by
GPT-5 mini
AI
S = {ABC, ABD, ACD, BCD}
Order doesn't matter when choosing people, so there are C(4,3)=4 possible 3-person groups: {A,B,C}, {A,B,D}, {A,C,D}, and {B,C,D}.
Order doesn't matter when choosing people, so there are C(4,3)=4 possible 3-person groups: {A,B,C}, {A,B,D}, {A,C,D}, and {B,C,D}.
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