Find the number of solutions in integers to n 1 + n 2 + n...
Find the number of solutions in integers to satisfying .
Answer & Explanation
2022-07-09Added 10 answers
Step 1 Let A denote nonnegative solutions to and denote those solutions where the upper bound on is violated, then inclusion/exclusion gives where e.g. Step 2 Because the solutions there can be recast as solutions to with or , and omitted terms are because they are empty (i.e. they reduce to a sum of nonnegative integers to a negative integer).
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