| From the introduction, each of the six lunch friends has the same first name
as another's last name. By clue 1, last Friday, the boy whose 1st name is
Thomas was seated between the boy whose 1st name is Charles and the boy
whose 2nd name is Anthony. We will arbitrarily number the lunch table chairs
1-6 in clockwise order and put the boy whose 1st name is Thomas in chair 1,
the boy whose 1st name is Charles in chair 2, and the boy whose 2nd name is
Anthony in chair 6. By clue 4, the boy whose 2nd name is Gregory sat between
the boy whose 1st name is Anthony and the boy whose 2nd name is Brett.
The boy whose 2nd name is Gregory isn't the one with 1st name Thomas, or
one boy would be Anthony Anthony. The boy whose 2nd name is Gregory didn't
sit in chair 5 for the same reason. If Gregory's 1st name were Charles,
Brett's 1st name would be Thomas (clue 4)--no (5). Therefore, the boy whose
2nd name is Gregory sat in chair 3 or chair 4. If he had sat in chair 4,
then the boy whose 1st name is Anthony and the boy whose 2nd name is Brett
would have sat in chairs 3 and 5 respectively or vice versa. Trying the
first arrangement, the boy whose 1st name is Anthony in chair 3 and the boy
whose 2nd name is Brett in chair 5, by clue 2, the boy whose 2nd name is
Thomas would have the 1st name Anthony--but one boy would be named Charles
Charles, no. Trying the second arrangement, the boy whose 1st name is Anthony
in chair 5 and the boy whose 2nd name is Brett in chair 3, by clue 2, the boy
whose 2nd name is Thomas would be Charles in chair 2 with Thomas Charles in
chair 1--no, since the intro specifies that no two boys share the same pair of
names. Therefore, the boy whose 2nd name is Gregory did not sit in chair 4; he
sat in chair 3. By clue 4, then, Charles Brett sat in chair 2 and the boy whose
1st name is Anthony sat in chair 4. If the boy whose 2nd name is Thomas in clue 2
had sat in chair 5, Anthony's 2nd name would be Charles--no (6). So, the boy
whose 2nd name is Thomas in clue 2 is Anthony in chair 4. By clue 2,
Scott Gregory was in chair 3 and the boy whose 2nd name is Charles in chair 5.
By elimination, Thomas' last name is Scott. By clue 3, the boy whose 1st
name is Brett sat to the immediate left of Thomas Scott. We thus have
our arrangement of chairs 1-6 in counterclockwise order, since the boy
whose 1st name is Brett must be the Anthony boy in chair 6 with
Gregory Charles in chair 5. So, in clockwise order, the six name-sharing
boys were seated in clockwise order as follows:
- Thomas Scott
- Brett Anthony
- Gregory Charles
- Anthony Thomas
- Scott Gregory
- Charles Brett
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