4. (15 points) Let $P(n)$ be the statement that a postage of $n$ cents can be formed using just 4-cent stamps and 7-cent stamps. Use strong induction to show that $P(n)$ is true for all $n \ge 18$.
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The possible combinations are: - 4 cents (1 x 4) - 8 cents (2 x 4) - 12 cents (3 x 4) - 16 cents (4 x 4) - 20 cents (5 x 4) - 24 cents (6 x 4) - 28 cents (7 x 4) - 32 cents (8 x 4) - 36 cents (9 x 4) - 40 cents (10 x 4) Show more…
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