Question 1006419
Answer shouldn't contain 31! in it. 31! is the number of ways to put all those dishes in some order.


You have 10 possible entrees to choose from, 8 possible side dishes to choose from. For desserts, you have 13C2 = 13!/(11!*2!) = 78 possible choices for deserts (please read on the binomial coefficient if you are unfamiliar).


Total # of ways is 10*8*78 = 6240