Let S = {c, o, u, n, t, m, e, 2}. Observe |S| = 8. (a) How many total functions are there f:S → S if there are no restrictions? (b) How many partial functions are there f:S → S if there are no restrictions? (c) How many total functions are there f: S→ S with restrictions that f(m) is a vowel and f(u) is not a vowel? Recall the vowels are a, e, i, o and u.

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