# If the combination to a lock consists of three digits

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If the combination to a lock consists of three digits the first of which cannot be 0, there are 900 possible combinations. Given that set A = {students taking Math 311} and set B = {students majoring in Cyber Security}. Which of the following is true? A ∩ B = {Cyber Security majors who are taking Math 311} Which of the following is one correct way to represent the set consisting of even
positive integers? {X | X is a positive even integer} If set A contains 12 elements, set B contains 15 elements, and there are 4 elements that are in both A and B, which of the following is true? |A B| = 12 + 15 - 4 Given set A = { Joe, Karen, Luis, Chris, Anna, Shawn, Devonne, Greg, Lucy, Gray} and B = { Stacy, Rick, Christina, Alonzo, Denae, Marcus, Karen, Luis, Devonne}. What is true of the complement of A with respect to B? It is also called “B not A” Which of the following is true about the union of two sets? It is the merger of those two sets ALSO It is the mathematical equivalent of the English word “or” Suppose set A is a subset of a universal set, U. What is true of the complement of A? CHART ANSWER The intersection of A and B is the green area. ALso The elements of A are in the yellow or green areas ALSO The complement of A B is the gray area The study of counting principles is also called combinatorial analysis. Given |A| = 17, |B| = 9, and |A ∩ B| = 2, then |A B| = 24 If set A contains 12 elements, set B contains 15 elements, and there are 4 elements that are in both A and B, which of the following is true? |A B| = 23 Given set A = { Joe, Karen, Luis, Chris, Anna, Shawn, Devonne, Greg, Lucy, Gray} and B = { Stacy, Rick, Christina, Alonzo, Denae, Marcus, Karen, Luis, Devonne}. What is true of the complement of A with respect to B? It is denoted B\A Counting principles provide a foundation for understanding which of the following? Statistics Which of the following is true about a set in mathematics? It must be finite ----------------------------------------------------------------------------------- ------------------------------ {Permutations and Combinations} Which of the following items are correct with regard to permutation or combination? 0 ≤ r ≤ n Which of the following items are correct with regard to permutation or combination? n≥ 0, r≥ 0, r≤ n Which of the following have the value or answer 1? 0! Which of the following apply when performing combination? Total possible arrangements of a collection of items Which of the following apply when performing combination? The order in which the items are selected does not matter Which of the following apply when performing permutation? The order in which the items are selected does matter Elena is a fashion designer who has 10 new dresses but can only display five of them. How many ways can she pick 5 dresses if order does not matter? 252 What is the value for 5P4? 5 x 4 x 3 x 2 x 1 What is the value for 5!? 5*4*3*2*1 What is the value for 5P4? 120 What is the value for 5!? 120 Evaluate the following: frac(6!,4!&times;3!) =5 Evaluate the following: frac(4!&times;5!,7!) =≈0.571 Which of the following items are correct? nCr can be smaller than its corresponding nPr Which of the following items are correct? nCr can be equal to its corresponding nPr For what value of r is the value of nPr the same as n!? r = n For what value of r is the value of nPr the same as n!? n – r =0 ----------------------------------------------------------------------------------- ------------------------------ {Probability Distribution}
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