Question 18 3 pts 18) In a group of 41 children, 25 had a dog, 21 had a cat, and 8 had both a dog and a cat. How many children had neither a dog nor a cat as a pet? A) 24 B) 3 C) 16 D) 13 D B A Question 19 3 pts 19) One weekend, there were 84 pizzas ordered for the sophomore dorm. That weekend 19 customers ordered their pizza with just pepperoni, 14 customers ordered their pizza with just sausage, 10 ordered theirs with just onions, 5 ordered theirs with pepperoni and sausage, 12 ordered theirs with sausage and onions, 15 ordered theirs with pepperoni and onions, and 2 ordered theirs with all three items. The remaining pizzas were cheese pizzas with no toppings. How many customers ordered at most two toppings on their pizza? A B D C A) 82 B) 75 C) 41 D) 32 Question 20 3 pts 20) Upon examining the contents of 38 backpacks, it was found that 21 contained a black pen, 23 contained a blue pen, and 19 contained a pencil, 13 contained both a black pen and a blue pen, 12 contained both a black pen and a pencil, 16 contained both a blue pen and a pencil, and 10 contained all three items. How many backpacks contained exactly two of the three writing instruments? A C B D A) 2 B) 15 C) 3 D) 11 Question 21 21) Find the number of proper subsets the set has. {1, 2, 3, 4} U B A A) 15 B) 4 C) 16 3 pts D) 8 Question 22 22) Draw a Venn diagram and shade the sections representing (AUB) nc D U B A A A) C A B PQ PQ B U A B B) C A B U 3 pts C U U D) Question 23 D B C A 23) Let U= {5, 10, 15, 20, 25, 30, 35, 40} = A {5, 10, 15, 20} B = {25, 30, 35, 40} C={10, 20, 30, 40}. Find BC'. A) BC' = {25, 35} C) BNC' = {30, 40} B) BNC' = = D) B C' {5, 15} 3 pts Question 24 24) Let U = {5, 10, 15, 20, 25, 30, 35, 40} A = {5, 10, 15, 20} B = {25, 30, 35, 40} C = {10, 20, 30, 40}. Find A' (B'C'). A) A'n (B'U C') = B) A'N (B'U C') = {25, 35} C) A'N (B'U C') = 5, 10, 15, 20, 25, 30, 35, 40} D) A'N (B'U C') = {10, 20, 25, 30, 35, 40} B 0 D D 3 pts Question 25 3 pts 25) In a survey of 22 instructors, it was found that 5 liked whiteboards, 15 liked blackboards, and 2 liked both. How many instructors did not like whiteboards? A) 17 B) 19 C) 13 D) 4 A D C B