Define predicate combinations which find the number of, Theory of Computation

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Define predicate combinations which find the number of

Question: In Lotto 6/49 exist 13 983 816 possible combinations which is the number of permutations of six (unordered) numbers up to 49.

Define predicate combinations which find the number of combinations K of up to N numbers. Validate your predicate with the subsequent test:

?- combinations(6,49,13983816). true

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Theory of Computation: Define predicate combinations which find the number of

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