In how many ways can we distribute 5 different books among 5 students, A, B, C, D, and E, such that A and B get at least one book?
What is the solution after simplify (A ∩ B) ∪ [B ∩ (C ∩ D) ∪ (¬ C ∩ ¬ D)], where A,B, C,B ⊂ U?