TITLE: Typo in Stanley, Enumerative combinatorics II, Cor. 7.23.9?
QUESTION [6 upvotes]: In Stanley, EC2, we have the following statement:

I think there is a typo in the first sum after "generating function",
and that $[n]_q!$ should be replaced by $(1-q)(1-q^2)\dotsb (1-q^n)$,
and same for $[n]_t!$.
The problem with the proof seems to be the line

which is incorrect(?) as the denominator on the right hand side should be
not the q/t-factorials, but the above product, according to the lemma which is referenced there.
This issue (if my suspicions hold), is not listed in the Errata..
I have also checked this in Mathematica, so I am fairly confident this is a typo.

REPLY [5 votes]: (In order that this question appears as answered I'm converting Richard's comment into an answer.)
The (somewhat nonstandard) convention in the text, stated just before the corollary, is that $[n]!_q = (1-q)(1-q^2)\cdots(1-q^n)$. For the quantity $[n]!_q/(1-q)^n$, the notation $\mathbf{(n)!}$ is used instead.