question archive Prove that given an unlimited supply of 2-cent and 5-cent coins, one can make any amount of change greater than or equal to 4 cents

Prove that given an unlimited supply of 2-cent and 5-cent coins, one can make any amount of change greater than or equal to 4 cents

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Prove that given an unlimited supply of 2-cent and 5-cent coins, one can make any amount of change greater than or equal to 4 cents.(Hint: How many Base Cases do you need?) Discrete Mathematics problem

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Answer:

Now using both the cases (a) and (b) together and by the principal of mathematical induction we have our result holds for all n≥4.

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