If a set A has 6 elements, then the total number of possible relations on A is 262 260 62 26

Q: 2. Use the set builder notation to give a description of each of the following sets: 1 2 3 4 5 2'3'…

A: Given

Q: Find the complement of the set given that  U = {x | x  I and −3 ≤ x ≤ 10}.  (Enter your answers as a…

A:

Q: Which of the following is the correct representation of A {2,4,8,16,32,... } in set builder…

A: To determine the correct representation of A=2, 4, 8, 16, 32, ... in set builder notation.

Q: Identify all possible proper subset relationships that occur among the following sets. A = {3n + 1|n…

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Q: Give an example of sets A and B for which |A U B| = |A|+|B|.

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Q: Let A = {a, b}, B = {1, 2}, and C = {2, 3}. Use set-roster notation to write each of the following…

A: (a) Find B∪C. B∪C=1,2,3 Now find A×B∪C. A×B∪C=a,1,a,2,a,3,b,3,b,1,b,2   (b) Find A×B.…

Q: Which of the following is the correct representation of A = (2,4,8,16,32,. } in set builder…

A: A detailed solution is given below

Q: Let A and B be subsets of a universal set U and suppose n (U) = 275, n(A) 100, п (В) = 70, п (An B)…

A: If A is subset of universal set U, then n( Ac ) =n(U)-n(A).

Q: Determine whether the set S = {1, x², 6 + x²} spans P2. S spans P2. O s does not span P2.

A: P2 is the vector set of all polynomials with real coefficients of degree 2 or less. So 1+x is an…

Q: . How many relations are there on the set S = {2, 4, 6}? 892 512 none of these 1024

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Q: If a set A has 9 elements, then the total number of possible relations on A is O 202 299 O 29 92

A:

Q: Let the universal set U = {x | x is a positive integer}. Also, let A = {x ∈ U | x is divisible by…

A: Given, U={x | x is a positive integer} The positive integers are  1, 2, 3, ... i.e. the natural…

Q: 3. Find the number of elements in A, UA,UA, if there are 100 elements in each set if a) the sets are…

A: Since you have posted multiple subparts we solve first three subparts for you To get the solution of…

Q: Let A = {1,2,3,4,5,6}, how many different relations are there on a set A?

A: First, we need to know definition  of the Cartesian Product of a set is with itself. The Cartesian…

Q: 9. Let A = {w, x, y. z} and B = {a, b}. Use the set-roster notation to write each of the following…

A: The given sets are: A=w,x,y,z  B=a,b A×B={w,a, w,b, x,a, x,b, y,a, y,b, z,a, z,b} The number of…

Q: Suppose A is a set having n elements. a. How many relations are there on 4? b. How many reflexive…

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Q: The empty set o is open set ylgn O İhi O

A: See the detailed solution below.

Q: 2. Let A = {1,2,3,4,5,6}, how many different relations are there on a set A?

A:

Q: Let U be the universal set with disjoint subsets A and​ B, where n(U) = 37​, n(A) = 8​, and n(B) =…

A: first we will find the value of n(A'∩B') we know according to De Morgan's law  A'∩B' =…

Q: Let A and B be any two sets. A binary relation from A to B is i. CAXB ii. SANB CAUB Non of these…

A: Firstly we define binary relation from set A to set B, and then conclude the answer.

Q: Determine n(U), the number of elements in the universal set, given n(X) = 47 and n(X′) = 156.

A: Note : {X, X'} forms a partition of U. i.e. X & X' are disjoint and their union is the universal…

Q: a) Let A = {4, {$}, ($, [$}}} and B = {1,2}. How many equivalence relations on A?

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Q: Find an example of sets A and B such that |A|=3,|A|=3, |B|=4,|B|=4, and |A∪B|=5.

A: Let A = {2, 3, 4} and |A|= 3 and B = {2, 4, 6, 8} and |B|= 4 The union of set A and B is the set of…

Q: Find the complement of the set given that  U = {x | x  I and −3 ≤ x ≤ 7}.  (Enter your answers as a…

A:

Q: Find the complement of the set given that  U = {x | x  I and −3 ≤ x ≤ 10}.  (Enter your answers as a…

A:

Q: A Partition of a set has 3 subsets: A, B, and C. If Pr[A]=.25 and Pr[B]=.45, find Pr[C].

A: The provided information is,P(A) = 0.25P(B) = 0.45According to the general law of probability, the…

Q: Given two sets: A = {a, b} B = {b, c, d} Construct the disjoint union of A and B.

A: Procedure to find disjoint union of family of sets. Consider family of set is  Ai:i∈ℕ∪0 . Let A=⊔Ai…

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: Use set builder notation to give a description of each of these sets. a) {0, 3, 6, 9, 12} b)…

A: We need to use set builder notation to give a description of each ofthese sets {0, 3, 6, 9, 12},…

Q: 2. If A = {a,b,c}, B = {1,2,3}, C = {x}, and D = 0, list all of the elements in each of the…

A: We have to find Cartesian product of part (c) and part (d)

Q: Suppose A and B are two finite sets such that |B| = 2 |A| and the number of relations on A is 16.…

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Q: *· Given a set (x, x+3, x+6, x+9, x+12} where xE2*, show there exists at minimum 1 of the numbers in…

A: Given set is x,x+3,x+6,x+9,x+12 where x∈ℤ+ The objective is to show that there exists at minimum 1…

Q: If n(A ∪ B) = 2n(A), then A and B are equivalent sets.

A: Here use definition of equivalent set

Q: Let S be the set of four elements given by S = {A, B, C, D} with the following table.* A B c D. If…

A: Let S be the set of four elements given by S = {A, B, C, D} with the given table.  If there is an…

Q: Specify the set A by listing its elements, where A = {x: x is a whole number less than 100 and…

A: As per out guidelines we can answer only 1 question. Please repost the remaining questions…

Q: If a set A has 5 elements, then the total number of possible relations on A is 255 252 25 52

A: Given below the detailed solution.

Q: How many relations are there on the set {a, b, c, d}

A: Introduction: The relation is a subset of the Cartesian product of two sets. Since it is a subset of…

Q: Given a set A of n elements, in how many ways can you find two set P,Q ⊆ A (not necessarily…

A: Given set of  elements we need to find number ways in which A can be written as union of two…

Q: Draw two Venn diagrams to determine whether the following expression is equal for all sets A and B.…

A: We will draw Venn diagram to check if the sets equal

Q: Let A, B, C be sets. Simplify (A∪(B∩C))∪((Bc ∩Cc)∪C)c

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Q: 1. Find the union C1U C2 and the intersection C1NC2 of the two sets C1 and C2, where (a) C1 = {0,1,…

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Q: The number of relations on the set A = {1, 2} is 256 . O True False

A: Number of relation with n elements 2n2

Q: Show that the set EE is: (ii). Closed iff E¯=E

A: Show that the set E is Closed iff E¯=E

Q: Let A and B be finite sets with |A|=10, |B|=5, |A∪B|=12 what is |A∩B|?

A: Given,  |A|=10 |B|=5 |A∪B|=12 |A∩B|=?

Q: Let A = {a, b}, B = {1, 2}, and C = {2, 3}. Use set-roster notation to write each of the following…

A: Soln:-A=a,b, B=1,2 and c=2,3

Q: Let A = { 0, 2, 4, 6, 8 } a. Determine whether each of the following is true or false: i. ii. 2 € A.…

A: We have to answer true or false and the description of A and possible lists of A.

Q: Let A and B be sets. Then B - (B - A) ANB is equal to the above Ā NB is equal to the above

A: Here ,we are given that A and B are two sets. We need to find  B-(B-A) : Now, Here ( B-A) represents…

Q: Determine whether the set S = {−2x + x2, 8 + x3, −x2 + x3, −4 + x2} spans P3.

A: Given a set, S=-2x+x2,8+x3,-x2+x3,-4+x2 We need to determine whether S spans P3.

Q: Which of the following is the correct representation of A = (2,4.8.16,32. in set puilder notation?"…

A: