Problem 5. (10 points) Prove the following statement by using strong induction: Any amount of postage worth 8 cents or more can be made from 3-cent or 5-cent stampsProblem 6. (10 points) Consider the following two-player game There are two piles of matches Initially each pile contains matches Players alternate moves. A move consists of choosing oneof the two piles and removing some nonzero number of matches from it The player who removes the last match wins Using strong induction, show that t
Problem 5. (10 points) Prove the following statement by using stro…
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a) Determine which amounts of postage can be formed using just 4 -cent and 11 -cent stamps. b) Prove your answer to (a) using the principle of mathematical induction. Be sure to state explicitly your inductive hypothesis in the inductive step. c) Prove your answer to (a) using strong induction. How does the inductive hypothesis in this proof differ from that in the inductive hypothesis for a proof using mathematical induction? | Numerade
a) Determine which amounts of postage can be formed using just …
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Use mathematical induction to show that any postage of at least 12 & can be obtained using 3 ∉and 7 ∉stamps. | Numerade
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