Question: I need assistance understanding the below examples on counting subsets: Consider a function f that maps 5-permutations from the set S = (1, .., 20)

I need assistance understanding the below examples on counting subsets:

Consider a function f that maps 5-permutations from the set S = (1, .., 20) to 5-subsets from S. The function takes a 5-permutation and creates an unordered set whose elements are the five numbers included in the permutation. (a) What is the value of f on input (12, 1, 3, 15, 9)? (b) Is (12, 3, 12, 4, 19) a 5-permutation? Why or why not? (c) How many permutations are mapped onto the subset (12, 3, 13, 4, 19)

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