# Not Again Bellboy

13 people came into a hotel with 12 rooms and each guest wanted his own room. The bellboy solved this problem.
He asked the thirteenth guest to wait a little with the first guest in room number 1. So in the first room there were two people. The bellboy took the third guest to room number 2, the fourth to number 3, …, and the twelfth guest to room number 11. Then he returned to room number 1 and took the thirteenth guest to room number 12, still vacant.
How can everybody have his own room?

### 3 guesses to Not Again Bellboy

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• Taylor Mali

If it is the “first and thirteenth” guests who are waiting in room 1, then it is deliberately obfuscatory to say that the person led to room 2 is “the third guest.” In the description above, there is never any mention of the “second guest,” so she is still without a room.

• Andy

The bellboy forgot the 2nd guest!

1st and 13th in room 1
3rd in room 2
.
.
.
12th in room 11
room 12 is still empty and the 13th guest can go there.

I guess the 2nd guest slept in the corridor!

• Taylor you are today’s winner!
Of course, it is impossible. Into the second room should have gone the 2nd guest, because the 13th guest was waiting in room number 1.