_Ly_. You have gone on the assumption that the letters are taken in
alphabetical order, until at a particular one the number of competitors
runs short; and I grant you it may be done so at Olympia. But suppose we
were to pick out five letters at random, say chi, sigma, zeta, kappa,
theta, and duplicate the other four on the lots for eight competitors,
but put a single zeta on the ninth, which we meant to indicate the
bye--what then would you do if you came on the zeta first? How can you
tell that its holder is the bye till you have been all round and found no
counterpart to it? for you could not tell by the alphabetical order, as
at Olympia.

_Her_. A difficult question.

_Ly_. Look at the same thing another way. Suppose we put no letters
at all on the lots, but, instead of them, signs and marks such as the
Egyptians use for letters, men with dogs' or lions' heads. Or no, those
are rather too strange; let us avoid hybrids, and put down simple forms,
as well as our draughtsmanship will allow--men on two lots, horses on
two, a pair of cocks, a pair of dogs, and let a lion be the mark of the
ninth. Now, if you hit upon the lion at the first try, how can you tell
that this is the bye-maker, until you have gone all round and seen
whether any one else has a lion to match?

_Her_. Your question is too much for me.

_Ly_. No wonder; there is no plausible answer. Consequently if we
mean to find either the man who has the sacred cup, or the bye, or our
best guide to the famous city of Corinth, we must absolutely go to and
examine them all, trying them carefully, stripping and comparing them;