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Carla can choose two of her three pairs of sneakers to take to a track meet. If the pairs of sneakers are called A, B, and C, which choice represents the sample space, S, for the event? S = {ABC} S = {ABC, CAB} S = {AB, AC, BC} S = {AB, BA, AC, CA, BC, CB}

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nobillionaireNobley
Number of ways of choosing two pair of sneakers from three pairs named A, B, C is given by 3C2 (3 combination 2) = 3! / 2!(3 - 2)! = 3! / (2! x 1!) = (3 x 2) / (2 x 1) = 3.

Therefore, the sample space is given by S = {AB, AC, BC}

The choice that represents the sample space S for the given event is; Option C: S = {AB, AC, BC}

Sample Space

We are told Carla can choose two of her three pairs of sneakers to take to a track meet.

Now, the pairs of the sneakers are called A, B and C.

Thus, the possible combinations are;

AB, AC, BC.

In conclusion, the choice of possible sample space is; S = {AB, AC, BC}

Read more about Sample Space at; https://brainly.com/question/3119162

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