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SQLITE_ENABLE_STAT4 triggers failures in analyze3.test
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I do not believe so. `n!` is when order matters, i.e. you have `n!` permutations of `n` elements.

However for the sqlite config flags I am pretty sure that order does not matter,
thus we have combinations, not permutations, and _only_
`2^87 = 154,742,504,910,672,534,362,390,528` of them (assuming the flags are simple on/off, or other binary).