I have 3 jars. All of the jars are incorrectly labeled. One has peaches, one has pears, one has plums.
What is the least number of jars I need to open to determine the contents of all 3 and why?
21 sats \ 1 reply \ @Scroogey 17 Oct
Only one.
You open the one labeled peaches. It cannot contain peaches. There are two cases, either it contains pears, or plums.
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You found plums in the jar labeled peaches. Since the remaining jar labeled pears can't contain the pears, the pears must be in the jar labeled plums.
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You found pears in the jar labeled peaches. Since the remaining jar labeled plums can't contain plums, the plums must be in the jar labeled pears.
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1 sat \ 0 replies \ @4rge 17 Oct
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1 sat \ 0 replies \ @SimpleStacker 17 Oct
If the jars are transparent you don’t have to open any of them
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