Hey!!!
I´m not totally sure about this but I think it make sense :/
We can pick 3 girls out of 12 in 12*11*10 ways.
(first we can choose from 12 girls, when we picked one we got 11 to choose from and so on...)
In the same way of thinking we can pick 3 boys in 10*9*8 different ways.
then we multiplie the numbers of different ways to combine the girls with the number of different ways to combine the boys.
so we got (12*11*10)*(10*9*8)