At a certain fast-food restaurant, 25% of drink orders are for a small drink, 35% for a medium, and 40% for a large. A random sample of 20 orders is selected for audit.
a. What is the probability that the numbers of orders for small, medium, and large drinks are 5, 7, and 8, respectively?
b. What is the probability that more than 10 orders are for large drinks?
Let 
denote the number of orders for a small drink, let 
denote the number of orders for a medium drink,
let denote the number of orders for a large drink.
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