Second question
case 1 )
4 boys 2 girls
10C4 (7C2-1)
bcos there will be one combination when the 2 girls r together
3 boys 3 girls
10C3(7C3-5)
bcos the 2 girls cud b together with any of the other 5
so ans
10C4(7C2-1) + 10C3(7C3-5)
but pls correct me if wrong