How many elements does the following set have? {{{Ø}}, ØU{Ø}, {Ø}, {{Ø}}} 1 2

Q: Which of the following sets are close under MULTIPLICATION? Choose ALL that apply. I. The set of…

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Q: Assume that the set S has 7 elements. How many subsets of S have at most 3 elements?

A: Given information- We have given that the set S has 7 elements. We have to find the number of subset…

Q: Suppose V is a set and that n(V) = 10. How many subsets of V contain exactly 3 members?

A: Number of ways in which 3 elements of V can be clubbed to form a subset = 10C3…

Q: Rework problem 6 from section 2.3 of your text. Assume that the set S has 7 elements. How many…

A: Number of ways to choose x elements out of 7 is Cx7. Subsets of S having at most 4 elements is…

Q: How many proper subsets does the set W, containing the days of the week, have? W={Monday, Tuesday,…

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Q: 48. Given {W, X, Y, Z}, a. List all the permutations of three elements from the set. b. List all the…

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Q: Let A={1,2,3,4,5} and B={2,3,4}. Find C such that CCA and BC. (There are more than one possible sets…

A: A set is a collection of objects. A set has the property that elements in the set cannot be…

Q: 24 Consider a set {1, 2, 3, ..., 19, 20}. How many subsets of 6 elements a) contain four even and…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

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: Find the complement of the set given that                                                     U = {x…

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Q: Which of the following sets are created correctly?s = {1, 3, 4}s = {{1, 2}, {4, 5}}s = {[1, 2], [4,…

A: The elements of the set is written in { } separated by comma. Example: A=a, b, c If there are two…

Q: How many strings of length 12 over the alphabet {a, b, c} have exactly three a's or have exactly…

A: Combinatorics is the field of mathematics in which we deal with counting. Counting is based on the…

Q: 1. State whether each set is finite or infinite. alodwy a. Y (Odd numbers) b. A (Prime numbers less…

A: NOTE:- We are entitled to solve the first question, unless stated. Finite set is a set having…

Q: I elements is A, then the

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Q: Recall that hexadecimal numbers are constructed using the 16 digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A,…

A: We know that, Hexadecimal numbers are constructed using the 16 digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,…

Q: Which of the following sets are the base for R ? Explain the reason. a) S = {(1,1,0, 1). (1, -1,1,…

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Q: exactly how many subsets does set B={1,2,3,4} have

A: The given set is

Q: A set S has 8 elements, how many subsets A ⊆ S are there such that: (a) A has at most 3 elements (b)…

A: Given : set S has 8 elements. Where A is subsets of S. a. A has at most 3 elements C(8, 3) = 56…

Q: Which of the following sets is (are) proper subsets(s) of the set of the multiples of 5? Choose one…

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Q: Which of these are sets having the 2nd element as the inverse of the 1st element? A. (D,A) and…

A: Use the definition of identity and inverse element.

Q: uppose that A ⊆ C so that n(A) = 5 and n(C) = 11. How many subset B, with n(B) = 8 are there such…

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Q: If U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A={1, 3, 4, 6, 9} and B = {3, 6, 7, 9}, list the elements of the…

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Q: Question 2 How many subsets does the set {red, blue, green} have? 8. 10 Question 3 Let: A = (1, 2,…

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Q: 3 3) How elements does the set {{1,2}} have? atramals Is this set equal to the set {1,23? many 20d

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Q: 4. In Aa group of n omen and n wowen, how many trere to arronge the se þeople are ways in F the men…

A: We'll answer one question since the exact one wasn't specified. Please submit a new question…

Q: List the elements of the following sets; M%3DThe letters in the isordu mathematics= word" Note:…

A: As per Bartleby guidelines, for more than three sub-parts in a question asked, only three is to be…

Q: Assume that the set S has 7 elements. How many subsets of S have at most 3 elements?

A: Consider that  the set S has 7 elements. The subsets can have 3 elements, 2 elements, 1 element, and…

Q: 1) Each student is classified as a member of one of the following classes: Freshman, Sophomore,…

A: the pigeonhole principle states that if {\displaystyle n}n items are put into m containers, with…

Q: Let X and Y be the number of tables and chairs in an office. p(x, y) of X and Y is given in the…

A: From the given information, the joint density for X and Y is,   y=0 y=1 y=2 y=3 x=1 0.05 0.06…

Q: A set contains nine elements a) How many subsets does it have? b) How many proper subsets does it…

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Q: distinct arrangements are possible e

A: We have to find out the total number of arrangements.

Q: 5. Find the power set of each of these sets, where a and b are distinct elements. a. {a}

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Q: Enumerate

A: The set S contains 5 elements, Number of subset = 25 = 32

Q: 2. Let S be the set [9] [1.2. (a) How many derangements 9). has the set S?

A: S = [9] = {1, 2, 3, 4... 9}  There are 9 elements  Hence, number of dearrangements = !9  =(9!)(1/2!…

Q: If S = {0,1,2,3,4,5, 6, 7,8, 9, 10,11,12} and A = {0,2,4,6,8,10,12}, B = {1,3,5,7,9,11}, C = {2,3…

A: Given information:…

Q: Let A = {a, a, b, c} and B = {a, b, c}. Prove that A = B. Thus, the number of times an element is…

A: Given A={a,a,b,c} and B={a,b,c} we  have to show that A=B, for  this we will show that A⊂B and B⊂A…

Q: Let S = {1, 2, ., 10}, A = {1, 3, 5}, B = {1,4, 6}, and C = {2, 5, 7}. Which of the following gives…

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Q: Recall that hexadecimal numbers are constructed using the 16 digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A,…

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Q: Use U = universal set = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} , A = {1, 3, 4, 5, 9}, B = {2, 4, 6, 7, 8} ,…

A: Use U = universal set = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} , A = {1, 3, 4, 5, 9}, B = {2, 4, 6, 7, 8}…

Q: b) The number of elements of the set A = {{{Ø}}, {{Ø}} n {Ø}, {Ø} U {Ø, {Ø}}} equals

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Q: O Question 5 B = {n|n EN and 317 Next Question

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Q: Let A = {a,b, c} and B = {b, c, a}. Prove that A = B. Thus, the order %3| in which the elements are…

A: The given sets are A={a,b,c} and B={b,c,a}we have to show that A=BResult : two sets A and B are…

Q: Which of the following sets spans R°? None of these {(-3,0,2)} O {(-3,0,2),(5,1,0),(0,1,1)}…

A: The solution is given as

Q: Each character in a password is either a digit [0-9] or lowercase letter [a-z]. How many valid…

A: Each character in the password is either a digit or the lower case letter. considering there is no…

Q: Find elements o and t in S3 such that lo|=2, IT|=2 and lot|= 3. How many elements in S4 are there…

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Q: If the set A has 3 elements and the set B = {3, 4, 5}, then find the number ofelements in (A×B).

A: Given that n(A)=3 From B = {3, 4, 5} we see that n(B)=3

Q: Which of the following sets is (are) closed under multiplication? Explain why or why not. d.{0, 1}…

A: (d) the set {0,1} is closed under multiplication, because, 0•0 = 0, 0•1 = 0, 1•0 = 0 &, 1•1 = 1

Q: Find n(A) for the set. A = {300, 301, 302, ..., 3000} %3D

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