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Norman wishes to buy a can of soda costing 75 cents from a vending machine. He has an unlimited supply of identical nickels (worth 5

Norman wishes to buy a can of soda costing 75 cents from a vending machine. He has an unlimited supply of identical nickels (worth 5 cents each) and dimes (worth 10 cents each). In how many different orders can he insert coins into the machine to pay for his soda?

For this problem, why is it a Fibonacci recurrence? Please solve using the Fibonacci recurrence, thank you!

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