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4. (4) Find the flaw with the following proof that every postage of three cents or more can be formed using a combination of three-cent
4. (4) Find the flaw with the following "proof" that every postage of three cents or more can be formed using a combination of three-cent and four-cent stamps. Basis Step: We can form postage of three cents with a single three-cent stamp and we can form postage of four cents using a single four-cent stamp. Inductive Step: Assume that we can form postage of j cents for all nonnegative integers j with jSk using just three-cent and four-cent stamps. We can then form postage of k + 1 cents by replacing one three-cent stamp with a four-cent stamp or by replacing two four-cent stamps by three three-cent stamps
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