Drinking with prisoners

Discrete Mathematics Level 4

You are a prison guard and you are looking after 10 prisoners. There are n-1 bottles of grape juice and 1 bottle of vine. You have to determine which one is the bottle of vine. Here are the rules:

  1. You can't make it by drinking, smeling or other.
  2. If anyone drinks even a single drop of vine, he will wake up very drunk.
  3. You have only one night to discover.

*Prisoners can drink infinite amount of juice/vine, but you (guard) can't drink anything :)

Find the maximum n, so you can be sure which one is the bottle of vine.


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