A

# Darling

The nine rooms paradox is a puzzle that was first published in Current Literature vol. 2, April 1889. It takes the form of a poem:

Ten weary, footsore travellers,
All in a woeful plight,
Sought shelter at a wayside inn
One dark and stormy night.

'Nine rooms, no more,' the landlord said
'Have I to offer you.
To each of eight a single bed,
But the ninth must serve for two.'

A din arose. The troubled host
For of those tired men not two
Would occupy one bed.

The puzzled host was soon at ease -
He was a clever man -
And so to please his guests devised
This most ingenious plan.

In a room marked A two men were placed,
The third was lodged in B,
The fourth to C was then assigned,
The fifth retired to D.

In E the sixth he tucked away,
In F the seventh man.
The eighth and ninth in G and H,
And then to A he ran,

Wherein the host, as I have said,
Then taking one - the tenth and last -
He logged him safe in I.

Nine singe rooms - a room for each -
Were made to serve for ten;
And this it is that puzzles me
And many wiser men.

How has the host managed to bamboozle his patrons? This puzzle is similar to that of the missing dollar.

### Solution

One of the two customers who is initially placed in room A, whom we may refer to as the "first" customer, is later transferred to room I and treated as if he were also the "tenth" customer.