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recurrence relations
A country uses as currency coins with values of 1 peso, 2 pesos, 5 pesos, and 10 pesos and bills with values of 5 pesos, 10 pesos, 20 pesos, 50 pesos, and 100 pesos. Find a recurrence relation for the number of ways to pay a bill of n pesos if the order in which the coins and bills are paid matters.
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a(n)=a(n-1)+a(n-2)+2a(n-5)+2a(n-10)+a(n-20)+a(n-50)+a(n-100)
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