Hey guys, I'd appreciate any help on this stats question... working would also be appreciated so I can learn how its done

15 People have been given complementary tickets to 3 shows.

There are:

- 6 tickets for show 1,

- 5 for show 2 and

- 4 for show 3.

How many ways can the group of 15 be divided between the 3 shows if 2 people refuse to go to show 1 and one person insists on going to show 3?

Also, if the tickets end up getting randomly distributed, what is the chance that the 3 people get there wish (i.e. persons 1 and 2 don't go to show 1 and person 3 goes to show 3)