In a competition, there are six participants. The individual who finishes first receives a gold medal, the one who comes in second gets a silver medal, and the third place finisher earns a bronze medal. How many unique sequences of medal recipients, from first to third place, can be formed?

Answer Choices

Correct answer marked below

120

Correct

720

1000

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Explanation

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Official Explanation

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Considering there are no ties in the competition: The Gold Medal can be awarded in 6 different ways. The Silver Medal can then be awarded in 5 different ways.…

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Comments

NathanJan 12, 2025

Great question!

What this question tests

What it tests

Whether you can count arrangements and selections correctly — permutations vs. combinations.

Common trap

Overcounting: treating a selection as ordered when order does not matter, or forgetting to divide by duplicates.