An easy one today.
Three professors—Prof. Smith, Prof. Jones, and Prof. Brown—are each celebrating a birthday on one of the days from Monday to Wednesday.
We know the following:
  • If Prof. Smith's birthday is on Tuesday, then Prof. Brown’s birthday is not on Monday.
  • If Prof. Brown’s birthday is on Wednesday, then Prof. Jones’s birthday is on Tuesday.
  • If Prof. Jones’s birthday is not on Wednesday, then Prof. Smith’s birthday is on Monday.
Can you figure out on which day each professor's birthday is?
Previous iteration: #754442 (solution in #754623).
Smith - Monday Brown - Wednesday Jones - Tuesday
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That seems right to me, too. I didn't think through if every other option is ruled out, though.
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I'm not entirely sure and it seems to me that there may be another solution.
Smith - Wednesday Brown - Tuesday Jones - Monday
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That violates the third statement.
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right!
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Can they share a birthday?
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All Monday seems to work
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Or anything that doesn't trigger the conditionals
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Good point.
Anything in the form of Monday, not Wednesday, not Wednesday should work.
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Interesting turn of events. The conditions were not properly defined, so yes, these are valid solutions too.
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140 sats \ 0 replies \ @Scroogey 9h
A second solution is S=M, J=W, B=T.
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42 sats \ 0 replies \ @Aardvark 10h
"Can you figure out on which day each professor's birthday is?"
Answer: Probably.
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