Let A = {1, 2, 3, 4} and B = {a, b, c, d, e}. How many different relations are there from A to B. Why?

Q: Let A = { 2, 3, 4 } and B = { 6, 8, 10, 12 } and define a relation R from A to B as follows: %3D For…

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Q: 1. Let S = {1,2, 3, 4}. (a) How many relations are there on S? (b) How many are reflexive? (o) How m…

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Q: Let R be the relation in the set N given by R = {(a, b) : a = b – 2, b > 6}. Choosethe correct…

A: Given : Let R be the relation in the set N given by R = {(a, b) : a = b – 2, b > 6}.  Choosethe…

Q: Let A = {1, 2, 3}. Then show that the number of relations containing (1, 2)and (2, 3) which are…

A: The smallest reflexive relation on set A containing (1, 2) and (2, 3) is

Q: If P(A)=p, P(A|B)=q, P(B|A)=r and A,B are mutually exclusive then what is the relation between p,q…

A: Let A and B be two events which are mutually exclusive. The probability that event B occurs provided…

Q: 2.  LetA={0,1,2,3,4}.  Write out the relation R that expresses ≥ on A.

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Q: Let A = { 3, 9}, R relation on A defined R by. R = {(a, b): a +b = 12 ,a, b E A }. Write R. O a. {…

A: Given that A={3,9} R is a relation on A defined by R={(a,b):a+b=12,a,b belongs to A}

Q: Let R1 = {(1,1), (2,2)} and R2 = {(1,1), (1, 2)} be relations on A = {1,2}. Then R1 UR

A: In this question given that two sets R1 and R2 and we find the unions  of these sets and relation of…

Q: Let A = { 2, 3, 4, 6 } and B = { 6, 8, 10 } and define a relation R from A to B as follows: For all…

A: Given that : A = {2, 3, 4,6} and B = {6,8,10} define relation  A*B→R R = {(x ,y): yx is an integer ,…

Q: Given the relations on the set of real numburs, &, - E(G,6) ER; a>b3, Rq = {CaL) EE, az6} Rs ={(a14)…

A: GivenR1=a,b∈R2 , a>bR2=a,b∈R2,  a≥ba) we know that R1+R2 contains thoseelements which are either…

Q: Suppose R and S are relations on {a, b, c, d}, where R = {(a, b), (a, d), (b, c), (c, c), (d, a)}…

A: we have given relations R and S on {a, b, c, d} and we need to find composition R∘S

Q: Suppose the following relations are defined on the set of A = {-2, -1,0 1, 2, }, . List the pairs in…

A: For relation R on a set A.   R is reflexive if (a,a)∈ R, for every a∈ A.   R is symmetric if (a,b)∈…

Q: If A = {2, 3, 4, 5}, B = {1, 2, 3} then the relation R = { (a, b)|asb} is given by: {(2, 3), (2, 2),…

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Q: Which of the following relations contain cach of the following pairs (1, 1), (1, 2), (3, 2), and…

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Q: 11. If |A| = 3, how many relations are there on A?

A: Given A=3

Q: 1. Express the following relations as a table and digraph. а. {(1,2), (1,3), (1,4), (2,1), (3,3),…

A: Relations as a table and digraph According to our guidelines,we can answer only first question.…

Q: Let R = { ( a, b ), ( a, d ), ( b, d ), ( c, a ), ( c, c ), ( d, b ), ( d, c ) } be a relation on…

A: Given: R=a,b,a,d,b,d,c,a,c,c,d,b,d,c   The relation R2 contains all ordered pairs (x, z) if (x, y)…

Q: Given R, = {(1, 2), (2, 3), (3, 4)} R2 = {(1, 1), (1, 2).(2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3,…

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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: Let A = {1, 2, 3, 4, 5} and R be the relation defined by a R b if and only if a < b. (a) Compute R²…

A: use the concept of composition          R2=RoR          R3=R2oR

Q: Suppose A is a set with n elements and B is a set with m elements. (a) How many ordered pairs (a, b)…

A: By bartelby guidelines I can only answer the first three sub questions.

Q: Let A = {2,3, 4} and B = {6,8, 10}, and define a relation R from A to B as follows: For all (x, y) E…

A: According to Bartleby guidelines I can only answer only one question out of two you have given. Also…

Q: Which relation on the set {a, b, c, d} are equivalence relations and contain (i) (b, c) and (c, d)…

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

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Q: Let A = {1, 2} and B = {3, 4}. Find the number of relations from A to B.

A: Number of elements in A=2 ...................................In B=2

Q: If R, T, G,H are relation on A and RET,GCH then, 1. RoG CTOH 2. Тон с RoG 3. RoT S Goн 4. RoH E ToG…

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Q: How many symmetric relations on the set A = {1,2, 3, 4, 5, 6, 7, 8} contain the ordered pairs (2,…

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Q: 5. Let A = {1, 2} and B x+y y) e R such that {3,4}and define a relation from A to B as (x,y) e AxB…

A: We will find out the required values.

Q: Let A = {4, 5, 6} and B = {5, 6, 7} and define relations R, S, and T from A to B as follows: For all…

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Q: Which relation has a domain of (3, 5, 8} ? O(2.8). (1. 3), (3, 5)} O(3, 8). (5. 3). (3, 5)} O (3.…

A: Domain of relation: The set containing all the first elements of all the ordered pairs of relation R…

Q: Let A = {1,2,3, 4} and B = {a, b, c, d, e}. How many different relations are there from A to B. Why?

A: Given A=1,2,3,4B=a,b,c,d,e

Q: Let A = {2,7,8,10} and B = {1,5,8,12} and let & be the "greater than or equal to" relation. That is,…

A: The given sets are A=2,7,8,10 and B=1,5,8,12 To find: The ordered pairs which satisfies σ and σ-1

Q: Consider the relation on the set N x N given by (m, n)R(k, l) if m + n = k + l. List three elements…

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Q: Write the relation R = {(x, x3) : x is a prime number less than 10} in roster form.

A: Prime numbers less than 10 are 2,3,5,7

Q: 1. Let A = {1, 2, 3, 4, 5, 6}. Write out the relation R that expresses | (divides) on A.

A: The relation R that express |(divides) on A is represented by, R={(x,y)| x,yϵA, x|y}

Q: This question refers to unions and intersections of relations. Since relations are subsets of…

A: The given sets are: A={-2,2,3,5} and B={2,3}

Q: Let A= B = Z. Let R be the relation from A to B defined by a Rb if and only if a² – b² = 9.…

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Q: For all relations R and S, Ro S = So R. O True O False

A: Ans : False

Q: One of the followin relations is not symmetric,where A={1,2,3,4}: .a…

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Q: the 品|名 Let A = {0, 1, 3, 4, 5, 6} and define the relation R and S on A b) as follows: For every (x,…

A: using the concept of relation ...

Q: Given A = {1,2, 3, 4} and B = {x,y , z}. Let R be the following relation from A to B: R =…

A: Step:-1 Given that A=1, 2, 3, 4  and B=x, y, z And R= 1, y, 1, z, 3, y, 4, x, 4, z

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: This question refers to unions and intersections of relations. Since relations are subsets of…

A: A={-4,4,7,9}B={4,7} A×B=-4,4,-4,7,4,4,4,7,7,4,7,7,7,4,7,7,9,4,9,7

Q: Let A = {3, 4, 5} and B = {5, 6, 7}, and let S be the "divides" relation from A to B. That is, for…

A: Given A=3,4,5 and B=5,6,7. And let S be the "divides" relation from A to B that is for every ordered…

Q: Let A = { 2, 3, 4 } and B = { 4, 6, 8, 10 } and define a relation R from A to B as follows: %3D For…

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Q: Let R be the relation {(1,2), (1,3), (2,3), (2,4), (3,1)} and let S be the relation {(2,1), (3,1),…

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Q: Suppose that R is a relation. Show that R C dom(R)×ran таn(R).

A: Given R is a relation. Let R be relation on a set A. Now define domain and range of relation R as…

Q: 9.16. Let A = {a, b, c, d}. How many relations defined on A are reflexive, symmetric and transitive…

A: given A=a,b,c,d claim- how many realations defined on A are reflexive , symmetric and transitive and…

Q: Let A= (2,3,4) and B= (2,6,8) and let R be the "divides" relation from A to B:  For all (x, y) £ A…

A: Now, A=2,3,4 and B=2,6,8 The set A×B is: A×B=2,2,2,6,2,8,3,2,3,6,3,8,4,2,4,6,4,8 We have the…