Henry Ernest Dudeney/Modern Puzzles/199 - Golf Competition Puzzle/Solution

by : $199$

 * Golf Competition Puzzle

Solution
Here is one arrangement:

$\begin {array} {r | c |} \text {Rounds} & 1 & 2 & 3 & 4 & 5 \\ \hline \text{$1$st Links} & CE & DE & DF & CF & AB \\ \hline \text{$2$nd Links} & AF & BF & AE & BE & CD \\ \hline \text{$3$rd Links} & BD & AC & BC & AD & EF \\ \hline \end{array}$

Derivation
Fill up the final column with any pairings.

Then each of the remaining four columns of each row consists of both possible pairings of the other four players.

The first row can again be assigned arbitrarily.

The second and third row follow after some straightforward trial and error.