Page:Passages from the Life of a Philosopher.djvu/256

240 {| align="center"
 * i
 * 2
 * p
 * 1
 * It contains—
 * t
 * 2
 * s
 * 3
 * 2 triplets.
 * o
 * 1
 * a
 * 1
 * 4 pairs.
 * r
 * 2
 * m
 * 1
 * 4 single letters.
 * e
 * 3
 * n
 * 2
 * 6
 * 18
 * 12
 * 12
 * 18
 * }
 * n
 * 2
 * 6
 * 18
 * 12
 * 12
 * 18
 * }
 * 12
 * 12
 * 18
 * }
 * 12
 * 18
 * }
 * 18
 * }
 * 18
 * }
 * 18
 * }

Now, on examining the dictionary of all words of eighteen letters, it will be observed that they amount to twenty-seven, and that they may be arranged in six classes:—

Hence it appears that the word sought must be one of those seven having two triplets, and also that it must have four pairs; this reduces the question to the two words—

The latter is the one sought, because its triplets are e and s, whilst those of the former are i and t.

The reader who has leisure may try to find out the word of eighteen letters formed by the following sentence:—

Another amusing puzzle may be greatly assisted by these