Like most word
problems in mathematics, this logic problem would be very difficult (if not
impossible) for most people to solve without using symbols to display both the
logic and the people involved on paper. You might end up making various charts
similar to the *truth tables* used in formal logic, but first, let's simply
diagram the number of possible ways that a *truthteller* (**T**), a
*liar* (**L**) and a *randomizer* (**R**) can be arranged while
sitting on **three** different **chairs** labeled **X**, **Y** and
**Z** :

There
are only six
possible combinations for three people: |
X |
Y |
Z |
|||

1 |
T |
L |
R |
|||

2 |
T |
R |
L |
|||

3 |
L |
T |
R |
|||

4 |
L |
R |
T |
|||

5 |
R |
T |
L |
|||

6 |
R |
L |
T |

This is, of course,
only one of a number of different ways you may have already used to show these
people on your own paper.

The next step,
however, is to devise your questions in such a way that you can figure out who
is who for any of these six situations. **Bonus Hint:** Notice that due to
the *Randomizer's* (**R**)* *answers being unpredictable, you really
have to base your decisions upon **only****two** ** predictable**
answers for each possible combination

OK, click here for another hint, but only if you've really tried this time!