Thank you for helping!
A question though: would it also work if you split up the 6C3 into, say
6C1, 5C1, 4C1?
So the result would be:
4*4*6C1*5C1*4C1
or
4*4*6*5*4?
I'm not sure if this is an one in a million accidentally correct answer.
Thank you for your help once more =^-^=