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?
Smith - Monday
Brown - Wednesday
Jones - Tuesday
That seems right to me, too. I didn't think through if every other option is ruled out, though.
I'm not entirely sure and it seems to me that there may be another solution.
Smith - Wednesday
Brown - Tuesday
Jones - Monday
That violates the third statement.
right!
A second solution is S=M, J=W, B=T.
Can they share a birthday?
All Monday seems to work
Or anything that doesn't trigger the conditionals
Good point.
Anything in the form of Monday, not Wednesday, not Wednesday should work.
Interesting turn of events. The conditions were not properly defined, so yes, these are valid solutions too.
"Can you figure out on which day each professor's birthday is?"
Answer: Probably.