Let the Universal Set, S, have 121 elements. A and B are subsets of S. Set A contains 55 elements and Set B contains 54 elements. If Sets A and B have 16 elements in common, how many elements are in B but not in A?

Q: Let the Universal Set, S, have 92 elements. A and B are subsets of S. Set A contains 12 elements and…

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Q: Let X = {s, t, u, 15, 16, 17), Y={t, v, w, 15, 17, 19), and Z= {t, v, 16, 17, 19). List the members…

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Q: How many arrangements are there?

A: Solution:

Q: Find the indicated number of elements by referring to the table of enrollments in a finite…

A: Given information:  Let  be A the set of students from the College of Arts​ & Sciences, B be the…

Q: Suppose that A and B are subsets of S. (a) Show that A ∩ B and A ∩ Bc are disjoint. (b) Express A as…

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Q: Assume that the set S has 14 elements. How many subsets of S have at most 4 elements

A: At most 4 means 4 or less.  Let us denote X=number of elements

Q: Let A = {June, John, James, Jared, Jeffrey, Jelly}, B = {John, Jelly, Jared}, and C= {Irina, Irena,…

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Q: Determine if the following statement is true or false regarding set A. A = {2, 3, 4, 5, 6, 7} 3 EA…

A: Let, A be a set.Then,  means that x is an element in the set A.

Q: Let the Universal Set, S, have 85 elements. A and B are subsets of S. Set A contains 15 elements and…

A: Given that S=85, A=15, B=57, A and B=13

Q: If A and B are both finite sets and A has n elements and B has m elements, what’s the fewest number…

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Q: Let A be a set with 5 elements. If replacement is not allowed, find the number of a. 3-permutations…

A: Let A be a set with 5 elements. If replacement is not allowed, to find the number of (a)…

Q: Define the students enrolled in this class during this semester as a set, S. a. Specify a partition…

A: Let S be the set of students enrolled in this class during this semester. a) Then, consider the…

Q: Let A and B be infinite sets that are uncountable. Do an and B have the same car finality as each…

A: Let A and B be infinite sets that are uncountable. Do A and B have the same cardinality as each…

Q: Assume that the set S has 13 elements. How many subsets of S have at most 4 elements?

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Q: Let S = {Aylesbury, Manchester United, Southend, Sheppey United, Liverpool, Golden Arrows, Witbank…

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Q: Suppose A is a set with 6 elements. Answer the following questions:   1. How many subsets of…

A: In a set the order does not matter. So we can use the combination method. 1) We can pick 4 elements…

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

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Q: Give an example of 4 non-empty sets, A, B, C and D such that all the following are true: A ∩ B ̸ =…

A: We have to give an example of 4 non-empty sets A, B, C, D such that all the following are…

Q: Let the Universal Set, S, have 127 elements. A and B are subsets of S. Set A contains 94 elements…

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Q: Let the Universal Set, S, have 190 elements. A and B are subsets of S. Set A contains 95 element and…

A: Given Information: Universal set S has 190 elements. Set A contains 95 elements. Set B contains 78…