Mathematics, 12.02.2020 17:47 ashleypere99
(a) Suppose you have 9 gold coins that look identical, but you also know one (and only one) of them is counterfeit. The counterfeit coin weighs slightly less than the others. You also have access to a balance scale to compare the weight of two sets of coins β i. e., it can tell you whether one set of coins is heavier, lighter, or equal in weight to another (and no other information). However, your access to this scale is very limited. Can you find the counterfeit coin using just two weighings? Prove your answer.
(b) Now consider a generalization of the same scenario described above. You now have 3^n coins, n β₯ 1, only one of which is counterfeit. You wish to find the counterfeit coin with just n weighings. Can you do it? Prove your answer
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(a) Suppose you have 9 gold coins that look identical, but you also know one (and only one) of them...
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