Subfactorial/Examples/5/Mistake

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Source Work

1997: David Wells: Curious and Interesting Numbers (2nd ed.):

The Dictionary
$44$


Mistake

Subfactorial $5 = 5! \paren {1 - 1 / {1!} + 1 / {2!} - 1 / {3!} - 1 / {4!} - 1 / {5!} } = 44$


Correction

There is an incorrect sign.

It should read:

Subfactorial $5 = 5! \paren {1 - 1 / {1!} + 1 / {2!} - 1 / {3!} + 1 / {4!} - 1 / {5!} } = 44$


This typo does not exist in the first edition of David Wells: Curious and Interesting Numbers.


Sources