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Select the correct answer. Mark, Chase, and Beatrice are running a 100-meter race. Which list represents the sample space of all the possible ways in which the three runners can win first, second, and third places? If there were four runners and three positions to be won, what would the sample size be? A. The sample space is {MBC, BCM, CMB}. If there were four runners, the sample size would be 4. B. The sample space is {MBC, MCB, BCM, BMC, CBM, CMB}. If there were four runners, the sample size would be 24. C. The sample space is {MBC, BCM, CMB}. If there were four runners, the sample size would be 4. D. The sample space is {MBC, MCB, BCM, BMC, CBM, CMB}. If there were four runners, the sample size would be 16.

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Answer:

B.  The sample space is {MBC, MCB, BCM, BMC, CBM, CMB}. If there were four runners, the sample size would be 24.

Step-by-step explanation:

I got it right on edmentum

The sample space is {MBC, MCB, BCM, BMC, CBM, CMB}. If there were four runners, the sample size would be 24. Then the correct option is B.

What are permutation and combination?

A permutation is an act of arranging items or elements in the correct order.

Mark, Chase, and Beatrice are running a 100-meter race.

The sample space of all the possible ways in which the three runners can win first, second, and third places will be

⇒ 4 x 3 x 2

⇒ 24

Then the correct option is B.

More about the permutation link is given below.

https://brainly.com/question/11732255

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