3
AssignmentMultiple Choice

Sets and Venn Diagrams

Question 3 • TN-Algebra II B SC 26-27 (For Credit)

What subset, A, of the sample space represents the complement of the event in which Camille is the final swimmer?

Answer
A
A = {CBA, CAB, BCA, ACB}
B
A = {ABC, BAC}
C
A = {CBA, CAB, BAC, BCA, ACB, ABC}
D
A = {AB, BA}

Explanation

The sample space lists all possible swimming orders using A, B, and C. The event that Camille (C) is the final swimmer consists of orders ending in C: ABC and BAC. Its complement contains the remaining orders, where C is not last: CBA, CAB, BCA, and ACB. Therefore, the correct choice is A = {CBA, CAB, BCA, ACB}, choice A.

AI-written and checked against the verified answer.

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