Hey guys! So I was doing my homework and I stumbled upon 2 different questions:

1) At a local carnival, Mia is shooting at a row of 10 duck targets. Each time she shoots at a duck, the duck she shoots and any ducks immediately next to it fall down. In how many different ways can Mia shoot three ducks? (The order of the ducks also matters.)

My thoughts for this problem was that she can only shoot ducks 2-9, so it would be [9-2+1]!

2) Find the number of ways of arranging six As and six Bs in a row, so that no three As are consecutive.

I have no clue how to approach this question. If you have any insights, please let me know. It would mean a lot if you could help me out. Thanks in advance.