(Combinations and Permutations MC)A spelling bee has 20 contestants. In how many ways can they finish in first, second, and third place?

(Set Operations and Relations MC)Given U = {q, r, s, t, u, v, w}, A = {s, t, v, w}, and B = {r, t, v}. If A’ ∪ B’ = {q, r, s, u, w}, determine (A ∩ B)’.

(Laws of Logic and Valid Arguments MC)Use the statements and truth table to determine which argument is valid.p: It rained.q: The grass is wet. Premise 1 Premise 2 Conclusion p q p → q T T T T F F F T T F F T

(Set Operations and Relations LC)Given A = {2, 5, 7, 8, 9}, B = {3, 5, 6, 7, 9, 10}, and C = {2, 4, 6, 7, 10}, find A − B.

(Combinations and Permutations LC)Calculate the number of combinations, given n = 6 and r = 3.

(Logic and Truth Tables MC)Complete the truth table for the given logical statement: ∼p ∨ q

(Interpreting Data Distributions HC)Data were gathered and displayed in the stem-and-leaf plot. 1 2 8 2 0 5 7 9 3 2 2 8 8 4 1 2 4 5 7 8 9 5 0 1 4 4 4 5 5 6 6 1 2 3 4 7 8 Key: 1|2 represents 12 Part A: Identify the shape of the distribution. (2 points)Part B: Suppose an outlier is added to the data set. If the resulting mean is lower with the outlier than without, state a possible value of the outlier. Justify the answer. (4 points)Part C: Which measure is more appropriate to use to describe the shape of the distribution? Justify the answer based on the shape of the distribution. (4 points)

(Logic and Truth Tables LC)Given the two statements p and q, write the compound statement for p → q.p: It is evening.q: The streetlights are glowing.

(Logic Operations and Equivalence MC)The table shows a random sampling of people’s favorite types of pizza crusts and toppings. Age Favorite Type of Crust Favorite Pizza Toppings 8 thin pepperoni 14 thick pineapple 15 thick pepperoni 18 thin pineapple p: Thin is their favorite type of crust.q: Pepperoni is their favorite pizza topping.Write a logical function to represent the people with a favorite crust type of thick and a favorite pizza topping of pepperoni.

  (Comparing Data LC)Calculate the mean for each data set. Set A 14 15 19 23 24 26 28 31 Set B 5 7 8 11 14 17 18 21