21. Let A be the set of all strings of O's, I's, and 2's of length 4. Define a relation R on A as follows: For all s, t € A, s Rt the sum of the characters in s equals the sum of the characters in t. a. Is 0121 R 2200? c. Is 2212 R 2121? b. Is 1011 R 2101? d. Is 1220 R 2111?

Q: How many elements are in the Cartesian product U x V? * Let U = {u is odd | 9 < u < 14} and V = {v €…

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Q: Let A = {4, 5, 6} and B = {6, 7, 8), and let S be the "divides" relation from A to B. That is, for…

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Q: Let R be the relation on the set of integers, s.t., aRb if and only if a=b or a= -b. Is R an…

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Q: The relation D is defined on the set P = {6, 9, 15, 54, 78, 90} by the rule: n1 D n2 exactly if (n2…

A: (i) The relation D is defined on the set P=6, 9, 15, 54, 78, 90 by the following rule: n1 D n2…

Q: 2,3,4,5

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Q: 6.A. Let A = (1, 2, 3) and B = (1, 2, 3, 4) and define a relation R from A to B as Given any (x. y)…

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Q: Consider the following relation on set B = {a, b, {a}, {b}, {a, b}}: P = {(a, b), (b, {a, b}), ({a,…

A: Given that, The set B is: B=a, b, a, b, a, b And, the set P is: P=a, b, b, a, b, a, b, a, b, a, a, a

Q: {2, 4, 6, 8} and define a relation R from A to Bas follows: for all (x,y) E AX B, (x, y) ER T. set…

A: As per our guidelines we are supposed answer only 3 subparts and rest can be reposted Given Data:…

Q: 1. Let A = {1, 2, 3} and B = {4, 5, 6}. a. Give an example of a relation R from A to B such that 1…

A: Given set and .

Q: 11. Let A(3, 4, 5) and B=(4,5,6) and let S be the "divides" relation. That is, for all (x, y) e Ax…

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Q: ame programs. A = the set of all people in the Social Security database; a Rb if and only if a and b…

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Q: c. Ris a relation on Z such that (x, y) e R if and only if xy 2 0. d. Ris a relation on Z* such that…

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Q: 1. Let A= {2, 3, 4} and B={6,8, 10} and define a relation Rfrom Ato Bas follows: For all (x, y) E AX…

A: If X=a, b and y=c, d, then X×Y=a,c, a,d, b, c, b, d.  Let R be a relation defined as R=x, y| x,…

Q: 9. Let R+ denote the set of positive real numbers. Define a relation E on R+ as follows: a Eb if and…

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Q: Let A = {3, 5, 7, 8} and define a relation S from A to A as follows: %3D For all (x, y) E A × A, (x,…

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Q: Let A be the set of students {Tom, Jim, Lisa, Mary}. Let B be the set of courses {C100, C200, C300}.…

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Q: Let A = {1,2, 3,4,5,6,7,8,9} and R be a relation in A ×A, defined by (a, b) R(c, d) → a + d = b + c…

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Q: let R be the relation on the set of positive integers in which a R b if and only if a is a factor of…

A: Given below the detailed Solution.

Q: Decide whether each of the following relations is an equivalence relation or not.  {(a, b) | gpa of…

A: To prove equivalence relation, we have to prove that (i) the relation is reflexive, (ii) the…

Q: 12. Let P = {2,3,4,5} and define a relation R from P to P as follows: For all (x, y) E P X P, (x, y)…

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Q: Define the relation R on set A as follows: xR y if and only if { x, y} C A or {x, y} c A, or {x,y} <…

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Q: 1. Let R be a relation on the set A = {1, 2, 3, 4, 5, 6, 7} defined by R = {(a, b) ∈ A × A | 4…

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Q: Let R be the relation over the set of all people where aRb iff a is the same age as b. Determine and…

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Q: 5- Consider the following arrays VERT={1,2,6,4} , TAIL={1,2,2,4,4,3,4,1} , HEAD={2,2,3,3,4,4,1,3},…

A: Given the sets Tail=1,2,2,4,4,3,4,1 and Head=2,2,3,3,4,4,1,3, the digraph can be computed using the…

Q: Let R be a total relation on a set of 15 elements. Then the number of ordered pairs in R is equal…

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Q: Let A Z and let the relation R be defined on A by zRy if and only if 7 divides r-y. a) Show that R…

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Q: 5. Let A = {6, 8, 10, 15, 17} and B = {2, 3, 4, 5} and define a relation R: A → B as follows: For…

A: Given: A={6, 8, 10, 15, 17} B={2, 3, 4, 5} Relation R:A→B is: For all x,y∈A×B∈R if and only if…

Q: Given the relation R on the set of all integers defined by the rule (x, y) ER if and only if x 2 y².…

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Q: f d a h с 6.0 g e b

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