Using the permutation formula, there are 157,410 ways for the medals to be distributed.
The number of possible permutations of x elements from a set of n elements is given by:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this problem, 3 athletes are chosen from a set of 55, hence the number of ways is given by:
P(55,3) = 55!/52! = 157,410
157,410 ways for the medals to be distributed.
More can be learned about the permutation formula at https://brainly.com/question/24245547
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