Which Alice?

Solutions to the Puzzles
ANOTHER CASE There are eight possible cases for what A,
B, C could have said. There are two possibilities for what A said,
and with each of these two possibilities there are two possibilities for
B; thus there are four possibilities for what A, B said. (These
possibilities are [1] A, B both claimed to be guilty; [2] A said he was
guilty; B said he was innocent; [3] A said he was innocent; B said he
was guilty; [4] A, B both claimed to be innocent.) Now, with each of
these four possibilities for A and B, there are two possibilities for
what C said, so there are eight possibilities altogether for what A, B,
C said.
With each of these eight possible cases for what the defendants
said, there are three possibilities for which of the three defendants
was actually guilty. Therefore, there are twenty-four possibilities for
the whole business (the whole business being what each defendant
said together with which one was actually guilty). If we knew which
of these twenty-four possibilities held, we would of course know
which one lied and which ones told the truth. We will now make a
systematic table for each of these twenty-four possibilities. This
table will be used not only for this puzzle but for a later one as well.
Explanations immediately follow the table.
The L's and T's indicate who was lying and who was telling the
truth (L stands for lying and T for truth-telling). For example, in Case
5B (which we find in Group 5 under the B column) we see that A
was lying, B was lying, and C was telling the truth. (Case 5B means,
of course, the case in which A said he was guilty, B said he was
innocent, and C said A was innocent, and B was actually guilty.)
More examples: In Case 8C, all three were lying; in Case 3B, all
three were telling the truth; in Case 4C, A was telling the truth and
B, C were both lying.
Now, the Jabberwocky, after being told what each defendant said,
and also that there was at least one true statement and at least one
false statement, knew who was guilty. What could the Jabberwocky
have been told to have enabled him to know? Suppose he were told
that A claimed innocence, B claimed innocence, and C claimed A
was innocent (this takes us within the three possibilities of Case 1).
The Jabberwocky could then have ruled out that C was guilty
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