[263.—KING ARTHUR'S KNIGHTS.—solution]
On the second evening King Arthur arranged the knights and himself in the following order round the table: A, F, B, D, G, E, C. On the third evening they sat thus, A, E, B, G, C, F, D. He thus had B next but one to him on both occasions (the nearest possible), and G was the third from him at both sittings (the furthest position possible). No other way of sitting the knights would have been so satisfactory.
[264.—THE CITY LUNCHEONS.—solution]
The men may be grouped as follows, where each line represents a day and each column a table:—
| AB | CD | EF | GH | IJ | KL |
| AE | DL | GK | FI | CB | HJ |
| AG | LJ | FH | KC | DE | IB |
| AF | JB | KI | HD | LG | CE |
| AK | BE | HC | IL | JF | DG |
| AH | EG | ID | CJ | BK | LF |
| AI | GF | CL | DB | EH | JK |
| AC | FK | DJ | LE | GI | BH |
| AD | KH | LB | JG | FC | EI |
| AL | HI | JE | BF | KD | GC |
| AJ | IC | BG | EK | HL | FD |
Note that in every column (except in the case of the A's) all the letters descend cyclically in the same order, B, E, G, F, up to J, which is followed by B.