Factorial as Product of Consecutive Factorials/Mistake

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Source Work

1986: David Wells: Curious and Interesting Numbers:

The Dictionary
$3,628,800$


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

The Dictionary
$3,628,800$


Mistake

... the only factorial that is the product of other consecutive factorials apart from the trivial $1! = 0! \times 1!$, $2! = 0! \times 1! \times 2!$ and $1! \times 2! = 2!$.


The author missed the other obvious trivial example: $0! = 0! \times 1!$.


Sources