Henry Ernest Dudeney/Modern Puzzles/192 - Missionaries and Cannibals/Solution

by : $192$

 * Missionaries and Cannibals

Solution
Let the missionaries be labelled $M$, $m$ and $m$.

Let the cannibals be labelled $C$, $c$ and $c$.

In both cases the capital letters indicate who is able to row.

Here they are at each stage of the crossing, where the bullet indicates where the boat is:


 * $\begin {array} {l | r c| c l}

& M m m \ C c c & \bullet & & \\ 1 & M m m \ c & & \bullet & C c \\ 2 & M m m \ C c & \bullet & & c\\ 3 & M m m & & \bullet & C c c \\ 4 & M m m \ C & \bullet & & c c \\ 5 & m \ C & & \bullet & M m \ c c \\ 6 & M m \ C c & \bullet & & m \ c \\ 7 & m \ c & & \bullet & M m \ C c \\ 8 & M m \ c c & \bullet & & m \ C \\ 9 & c c & & \bullet & M m m \ C \\ 10 & C c c & \bullet & & M m m \\ 11 & c & & \bullet & M m m \ C c \\ 12 & C c & \bullet & & M m m \ c \\ 13 & & & \bullet & M m m \ C c c \\ \end{array}$