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}

Question

Kasey Montgomery

Mathematics

4 December, 14:47

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}

+4

Answers (2)

Know the Answer?

Jadiel Kaufman · Answer 1

The sample space are all the possible combinations of 3 of the students.

That is ABC, ABD, ACD and BCD.

Those are all the different ways how you can choose three students from the four given.

You have to realize that the combinations ABC, ACB, BCA, CAB, represent the same sample.

So, the answer is the first option S = {ABC, ABD, ACD, BCD}

Joaquin Skinner · Answer 2

For those of you who cant see the "premium answer"

The answer is the first option S = {ABC, ABD, ACD, BCD}