Q1. A restaurant offers 7 different side dishes: corn, rice, beans, potatoes, carrots, squash, and broccoli. A customer must select two different side dishes for his dinner. How many outcomes are in the sample space? How many outcomes are in the event "rice is selected?"

Q2. Let A, B, and C be sets in a universal set U.

We are given n(U) = 63, n(A) = 31, n(B) = 34, n(C) = 26, n(A B) = 14, n(A C) = 8, n(B C) = 13, n(A B C^C) = 9.

Find the following values.

(a) n(A^C B C) (b) n(A B^C C^C)