.
For nC2, there is a simple and compact formula
nC2 =
=
.
In your case, 12C2 =
=
= 6*11 = 66.
It is highly recommended for any student to know and to use this simple formula,
alongside with the long formulas for the general case.
Using the short compact formula will allow you to save huge amount of your time and avoid numerous errors,
which you DEFINITELY and INEVITABLY will make, using long formulas without any visible benefits.
Solved.