Let A and B be nite sets. (a) Explain why n(AnB) S n(A). (b) Explain why n(A) S n(AUB). (c) Suppose n(AnB) = n(AUB). What more can be said about A and B? E> (a) Explain why n(AnB) s n(A). Choose the correct answer below. 0 A. The set AnB contains all the elements of A and any additional elements of B that are not already included. Thus, the complement of AnB cannot have more elements than the complement of A. O B. The set AnB contains only the elements of A that are not also elements of B. Thus, AnB cannot have more elements than A. O C. The set AnB contains only the elements of B that are not also elements of A. Thus, since A and B are both nite, it follows that AnB cannot have more elements than A. O D. The set AnB contains only the elements of A that are also elements of B. Thus, AnB cannot have more elements than A