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(Combinations and Permutations MC)A spelling bee has 21 contestants. In how many ways can they finish in first, second, and third place?

(Combinations and Permutations MC)A spelling bee has 22 contestants. In how many ways can they finish in first, second, and third place?

(Exploring Set Relationships Using Venn Diagrams LC)Which of the following is a subset of S = {dog, cat, pig, rabbit, squirrel, fish, hamster, elephant, zebra, snail}?

(Events and Sample Spaces MC)Set A = {engineer, architect, teacher} and Set B = {architect, teacher, mechanic, driver}.Determine the elements in A ∪ B.

(Combinations and Permutations LC)Calculate the number of permutations given n = 16 and r = 5.

(Addition and Multiplication Rules for Probability LC)P(A) = 0.53, P(B) = 0.21, and P(B | A) = 0.53. Are the events independent? Justify mathematically.

(Logic Operations and Equivalence MC)Use the statements and truth table to determine which statements are equivalent.p: It is a fish.q: It rests at night. p q ∼p ∼q p → q ∼p → ∼q q → p ∼q → ∼p T T F F T T T T T F F T F T T F F T T F T F F T F F T T T T T T

(Interpreting Independence MC)A book publishing company surveyed 450 customers about their favorite genre and preferred season. The results are displayed in the table. Winter Spring Summer Fall Mystery 75 25 32 48 Romance 14 61 24 36 Sci-Fi 23 2 8 12 Non-fiction 28 22 16 24 Is preferring fall independent of favoring mystery books? Justify mathematically.

(Set Operations and Relations LC)Given A = {1, 4, 5, 6, 7}, B = {2, 4, 5, 6, 8, 9}, and C = {1, 4, 6, 7, 10}, find A − B.

(Addition and Multiplication Rules for Probability MC)A restaurant menu includes 5 types of soup, 6 types of sandwiches, 3 types of salad, and 4 types of drinks. How many different combinations of soup, sandwich, salad, and drink can a customer order?