Question: (a) For n 3, how many different Hamilton cycles are there in the complete graph Kn ? (b) How many edge-disjoint Hamilton cycles are

(a) For n ≥ 3, how many different Hamilton cycles are there in the complete graph Kn ?
(b) How many edge-disjoint Hamilton cycles are there in K21?
(c) Nineteen students in a nursery school play a game each day where they hold hands to form a circle. For how many days can they do this with no student holding hands with the same playmate twice?

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