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The $q$-binomial coefficients (also known as the Gaussian binomial coefficients):
$${r \brack s}_q = \frac{(r;\,r)_q}{(s;\,s)_q \, (r-s;\,r-s)_q}.\tag{10}$$$${r \brack s}_q = \frac{(q;\,q)_r}{(q;\,q)_s \, (q;\,q)_{r-s}}.\tag{10}$$
The $q$-binomial coefficients (also known as the Gaussian binomial coefficients):
$${r \brack s}_q = \frac{(r;\,r)_q}{(s;\,s)_q \, (r-s;\,r-s)_q}.\tag{10}$$
The $q$-binomial coefficients (also known as the Gaussian binomial coefficients):
$${r \brack s}_q = \frac{(q;\,q)_r}{(q;\,q)_s \, (q;\,q)_{r-s}}.\tag{10}$$
