A golf course consists of 18 holes, with a mix of 3, 4 and 5 par holes – there has be at least one 3 par, one 4 par and one 5 par holes. The sum of the pars of all 18 holes must be 72. The following could be a golf course:

3 5 4 3 5 4 3 5 4 3 5 4 3 5 4 3 5 4

Find the total number of possible 18 hole golf courses (the order is irrelevant).

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