6
QuizMultiple Choice

Finding Outcomes

Question 6 • TN-Algebra II B SC 26-27 (For Credit)

Six teammates are competing for first, second, and third place in a race.How many possibilities are there for the top three positions?

Answer
A
20
B
30
C
120
D
240

Explanation

The order of the top three places matters, so count ordered selections without replacement. There are 6 choices for first place, 5 remaining choices for second, and 4 for third: 6 × 5 × 4 = 120. The correct choice is 120.

AI-written and checked against the verified answer.

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