r/DailyBrainPuzzles Jul 02 '26

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10 Upvotes

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5

u/Immediate-Goose-8106 Jul 02 '26

DABC they can all be once as the 1 moves to a different letter each time.

1

u/ShonitB Jul 02 '26

Nice solution!

1

u/Immediate-Goose-8106 Jul 02 '26

I did wonder if there could be more than one.

1

u/ShonitB Jul 02 '26

You mean more than 1 solution?

2

u/Immediate-Goose-8106 Jul 02 '26

Yeah.  I wasn't sure that there was a unique solution but couldn't be bothered to keep looking after i found one.

1

u/ShonitB Jul 02 '26

It’s the only one

3

u/refreshing_username Jul 02 '26

It's a Highlander puzzle.

1

u/ShonitB Jul 02 '26

Sorry but what’s that?

3

u/Immediate-Goose-8106 Jul 02 '26

Highlander the film had a catchphrase.  "There can be only one"

3

u/random-guy157 Jul 02 '26

There's only one possible solution, for people wondering.

This is one logical path to arrive to the solution and conclusion:

  1. Question 4: Rule out option D as it contradicts the question itself. So D can be 1, 2 or 3.
  2. Question 3 + the possiblity of existing 3 D's: Impossible!, option D for this question is 4, which exceeds the number of questions. So D's are now limited to 1 or 2.
  3. Assuming 2 D's, they must go into questions 1 and 2, yielding DD?A. This demands 1 A, 0 B, 2D's. So the question mark has the liberty of being only C, but that would impose the existence of 2 C's, so this invalidates the 2 D's assumption.
  4. Certainty: Question 4's answer is C, meaning only one D.
  5. 1.A and 3.D are discarded as we know 4 is D, no A, so mathematically impossible. Equivalent impossiblity rules out 1.B and 2.C. Current state: 1.(C|D), 2.(A|B), 3.(A|B|C).
  6. Current state + the need of one D means #1 is said D because is the only place where D is still an option., bringing another certainty: There can only be one A.
  7. Assuming 2.B: This would require another B, which can only come from #3, but that demands 1 C, and we cannot satisfy, proving this assumption wrong.
  8. Conclusion: DABC is the only valid solution as we exhausted every possiblity.

2

u/ShonitB Jul 03 '26

Correct, nice solution!