.
If Kate won gold, then for the rest candidates there are 4*3 = 12 possible permutations.
If Kate won silver, then for the rest candidates there are 4*3 = 12 other possible permutations.
If Kate won bronze, then for the rest candidates there are 4*3 = 12 possible other permutations.
These three sets of permutations with 12 elements in each set, are DISGIUNT,
so the final answer is 12+12+12 = 36 permutations.
ANSWER. In all, there are 36 possible permutations.
Solved.
.............
Now you see this advantage posting separate problems/questions.