A card is drawn at random from a deck of 52 cards. Let the events be: A = "A figure card comes out" and B = "A red card comes out." The cardinalities of the sets "The Complement of A" and "A intersection B" are:   a) 26, 6 b) 40, 6 c) 52, 26 d) 40, 12

Q: What is the mean of the set S= (4, 10, 1, 12, 13,21)?

A: Given data set S = 4, 10, 1, 12, 13, 21.Formula for mean is,

Q: Let A = {Janet, Jello, Justin}, B = {Sally, Solly, Molly, Jolly, Jello}, and C = {June, Janet, Jill,…

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Q: Let J = {1, 2, 3, ... }, the set of counting numbers and let R be the set of real numbers. Is R − J…

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Q: How many subsets does the set L= {6, 7, 8, 9} have? %3D

A: A is called the subset of B if all the elements in A are also present in B. In the given set L there…

Q: 1. Let A = {2, {2},{{2}}}, B = {2, {2}, {2, {2}}}. Is A C B? Is BC A? Is either A or B a proner…

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Q: An ice cream shop provides the following types of add-ons: hot fudge, caramel, cherry, Reddi-whip,…

A: Consider the  add-ons ice-cream shop provides: Hot fudge,caramel,cherry,redid-whip,chopped…

Q: prove the following statement. let a,b, and c  be three counting numbers. then, gcd(ac,bc)=c…

A: To prove the statement gcd(ac,bc)=c gcd(a,b), use the following two properties of the greatest…

Q: Consider the following two sets:   A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} B = {–9, –6, –3, 0,…

A: The intersection of two sets A and B contains the elements that the two sets have in common.

Q: Given:  U = { 2, 5, 8, 11, 14 }             A = { 2, 5, 8, 11 }              B = { 2, 8, 11, 14 }…

A: Solution:-

Q: N={0,1,2,3,...}, Z+={1,2,3,......} Find the following set is true or false? (N - Z+) ⊆ {0,1} Select…

A: Given, N={0,1,2,3,...}, Z+={1,2,3,......}

Q: How many subsets are there of the set N = {9}?

A: Given,          The set is N=9We know that,         The number of subsets of a given set is 2n ;…

Q: the sets A {1,2,3,4,5), B = {3,4,5,7) and C= {2,4,6,8). Then the set (An C) B is a) {3,5} b) {3,5,7}…

A: A= 1,2,3,4,5 B = 3,4,5,7 C = 2,4,6,8

Q: If A={3,7,9,13,22}, B={5,7,14,23,31}, and C={8,9,15,23,25,31,33}, then what is (A∪B)∩C?

A: It is given that A=3,7,9,13,22,B=5,7,14,23,31 and C=8,9,15,23,25,31,33. It is required to find…

Q: I need help with these two questions.

A: Detailed explanation:

Q: How many 3-permutations of the set S = {a, b, c, d, e} are there?

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Q: A 150 people were surveyed about whether they like berries, citrus fruits, and melons. The result of…

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Q: In lectures we have seen that the set {1, 2, . . . , n} has 2n subsets. Now say that a set is…

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Q: Acme fastener company makes 6 different types of bolts, and the types are each denoted with a letter…

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Q: Let A₁ = {1, 2, 3, 4, 5, 6}, A2 = {7, 8, 9, 10, 11, 12, 13} and {14, 15, 16, 17, 18, 19}. A3 = How…

A: Let A1=1, 2, 3, 4, 5, 6, A2=7, 8, 9, 10, 11, 12, 13 and A3=14, 15, 16, 17, 18, 19.   To Find: How…

Q: How many subsets are there of the set N = {5, 42}?

A: We ahave to find no. Of subsets.

Q: Let A, B, C, and D be sets. Prove that (a) if CCA and DCB, then COD CANB.

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Q: Let A = {July, John, Jill, Jared, Jeniffer, Jelly), B = (John, Jelly, Jared), and C = {Irina, Irena,…

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Q: 2. Let A = {1, 2, 3, 4, 5, 6} and B= {2, 4, 6, 8}. What is the cardinality of B? A U B, A N B?

A: Given that  A={1, 2,3,4,5,6} and B={2, 4,6,8}

Q: The cardinality of the power set of A UB, where A = {2, 3, 5, 7} and B = {2, 5, 8, 9} is Select one:…

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Q: In how many ways it is possible to partition set B = {1, 2, 3, 4, 5} into 3 nonempty subsets? O a.…

A: Given set is B = {1, 2, 3, 4, 5}

Q: Question: Given a set A={1,2,3,4,5} a. How many subsets do A have (Hint: all possible subsets) b.…

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Q: If A= {1,2,3,4,5,6,7,8}    B= {1,2,3,4,5}    C= {7,8,9,10}    U= {1,2,3,4,5,6,7,8,9,10} What is the…

A: Introduction: The quantity of items in a mathematical set is known as a set's cardinality. It may be…

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Q: . Find the sets A and B if A - B = {1, 5, 7, 8}, B-A = {2, 10), and An B = {3, 6, 9).

A: