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PUZZLE 6
"No room at the Inn?"

A traveller wanted to get into the tavern's private rooms, but he needed a password. So he listened as other members were going in. When the first man knocked, the doorman said "twelve", the man answered, "six". When the second man knocked, the doorman said, "six", the man answered, "three". Our friend thought he knew the pattern so he knocked on the door. The doorman said, "ten" our friend answered, "five". He was not let into the club.
Why?

-[answer]-