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there are 18 skaters competing in the competition. how many ways can th…

Question

there are 18 skaters competing in the competition. how many ways can they win the gold, silver, and bronze medal? 54 283 816 2368 4896

Explanation:

Step1: Choose permutation formula

Order matters (gold≠silver≠bronze), so use $P(n,k)=\frac{n!}{(n-k)!}$ where $n=18$, $k=3$.

Step2: Calculate the permutation

$P(18,3)=18×17×16=4896$.

Answer:

C. 4896