How many distinct eulerian cycles does k subscript, Computer Engineering

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How many distinct eulerian cycles does k subscript

Problem 1: Given that n is even, how many distinct eulerian cycles does K subscript (2,n) contain?

Problem 2: Given that n> 2, how many distinct hamiltonian cycles does K subscript (n) contain?

Problem 3: Given that n>2, how many distinct hamiltonian cycles does K subscript (n,n) contain?

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