AFHKNW

Using an ordered alphabet of 26 letters, how many ways are there to choose a set of six different letters such that no two letters in the set are adjacent in the alphabet?

For instance, \(\{ISOKAY\}\) is a valid set of six letters, but \(\{V\color{red}E\color{black}TOI\color{red}F\color{black}\}\) is not because \(E\) and \(F\) are both in the set.


Note: As always, a "set" is considered unordered. Hence, \(\{ISOKAY\}\) and \(\{YAKOSI\}\) and \(\{AIKOSY\}\) are considered the same set.

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