Let A, B, and C be sets in a universal set U. We are given n(U) = 66, n(A) = 39, n(B) = 37, n(C) = 33, n(A ∩ B) = 21, n(A ∩ C) = 20, n(B ∩ C) = 21, n(A ∩ B ∩ CC) = 8. Find the following values. (a)    n((A ∪ B ∪ C)C) (b)    n(AC ∩ BC ∩ C)

1) Finite Cardinalities A. For any two sets, is this statement true: n(AUB)=n(A)+n(B) - n(ANB) B. For any two sets, is this statement true: n(AUB)=n(A)+n(B)? Explain. C. Is it possible for n(ANB)=0? Explain. D. Is it possible that n(AUB)=0 and n(ANB)=3? Explain. E. Is it possible that n(AUB)=3 and n(ANB)=0? Explain. stions:

1. Find n(AUB) for each pair of sets described. a) n(A)-10, n(B)-8, n(AB)-4 b) n(A)-7, n(B)-12. ACB

. Evaluate each of the sets A-E and write the answer in list format: (a) A = NUZ (b) B = {2x x € Z}nN+ (c) C = {-4, -3, -2, -1,0, 1, 2, 3, 4} \ {x € Z : [x] is a prime number} (d) D = {n €Z:n −3} (e) E = {} \ {}.