Find the (ordinary) generating function for the sequence

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Practice Problems

Consider the multiset

M = {∞・a, ∞.b, ∞.c, ∞.d}.

For n ≥ 0 let hn denote the number of n-permutations of M.

(i) Find the (ordinary) generating function for the sequence

(ii) Find the exponential generating function for the sequence

Hint

Mathematics(i)A sequence is an enumerated group of items in mathematics where repetitions are permitted and order is important. Similar to a set, it has members (also called elements, or terms). The length of the series is the number of elements (potentially infinite)....

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