Well to show that I actually tried this problem... can someone please tell me if these updated answers are right? I'm not sure, but i think i figured it out.

A) 9P4 (9 recipes, 4 parties)

B) 9^4 (9 x 9 x 9 x 9 .... due to 9 recipies and 4 parties)

C) 8P3 (8 Recipies, 3 parties since Metballs is added to first party)

D) 7P2 (7 Recipies, 2 parties since Meatballs and Pasta Salad are added to the 1st and last respectivlely)...

E) still not sure...

Can someone please tell me if this is right or wrong?