For problems 9, 10, 12, and 13, recall that the Inclusion/Exclusion Theorem for three sets says that if there are three sets, A, B and C, then l A u Buci-A+BI -A O BI-lAnc1-IB n cl + IA n B n cl. 9. How many integers between 1 and 120 are integer multiples of 2, 3, or 5? 10. How many integers between 1 and 140 are integer multiples of 2, 5, or 7? 11. A family with two parents, three daughters and four sons line up for a photograph. How many ways are there for the family to line up so that the mother is next to at least one of her three daughters? 12. A university offers 3 calculus classes: Math 2A, 2B, and 2C. A set of students have each taken at least one of the three classes. 51 have taken Math 2A, 80 have taken Math 2B, and 70 have taken Math 2C. 15 students have taken Math 2A and 2B, 20 have taken Math 2A and 2C, and 13 have taken Math 28 and 2C. Only 4 have taken all three classes. How many students are there in the set? 13. Given a set of 29 students, of which 8 need housing and financial aid: 12 need housing, financial aid, and an e-mail account; 17 need an e-mail account and financial aid; 23 need housing; 20 need financial aid; 19 need e-mail accounts; and 4 students don't need anything. How many students need both housing and an e-mail account