The change-making problem addresses the following question: how can a given amount of money be made with the least number of coins of given denominations? It is a knapsack type problem, and has applications wider than just currency.
Read more about Change-making Problem: Mathematical Definition, Non Currency Examples, Related Problems, See Also
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“But a problem occurs about nothing. For that from which something is made is a cause of the thing made from it; and, necessarily, every cause contributes some assistance to the effects existence.”
—Anselm of Canterbury (10331109)