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The number of equivalence relations defi...

The number of equivalence relations defined in the set S = {a, b, c} is

A

3

B

5

C

7

D

8

Text Solution

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The correct Answer is:
B
The number of equivalence relations is 5.
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OBJECTIVE RD SHARMA ENGLISH-CARTESIAN PRODUCT OF SETS AND RELATIONS -Section I - Solved Mcqs
  1. If A={x:x^(2)-5x+6=0},B={2,4},C={4,5} then find Axx(BnnC)

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  2. If A={a,b},B={c,d},C={d,e}, then {(a,c),(a,d),(a,e),(b,c),(b,d),(b,e)}...

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  3. If R is a relation on the set A={1,2,3} given by R={(1,1),(2,2),(3,3)}...

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  4. The relation R defined on the set A={1,\ 2,\ 3,\ 4,\ 5} by R={(a ,\ b)...

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  5. Let Y={1,2,3,4,5}, A={1,2}, B={3,4,5}. If (A xx B) denotes Cartesian p...

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  6. Let A={2,\ 3,\ 4,\ 5,\ .......\ 17 ,\ 18} . Let ' ' be the equivalenc...

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  7. Let S be the set of all real numbers. Then , the relation R = {(a, b) ...

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  8. Let R={(3,3),(6,6),(9,9),(12,12),(6,12),(3,9(,(3,12),(3,6)} be relatio...

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  9. Let R be the real line. Consider the following subsets of the plane ...

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  10. Let w denotes the set of words in the English dictionary. Define the r...

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  11. On the set N of natural numbers, delined the relation F by a R b if th...

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  12. The relation R defined on the set A={1,\ 2,\ 3,\ 4,\ 5} by R={(a ,\ b)...

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  13. The relation on the set A={x|x|<3,x,in Z} is defined by R={(x,y);y=|x|...

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  14. The number of equivalence relations defined in the set S = {a, b, c} i...

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  15. Let R be a relation on the set of integers given by aRb<=> a= 2^k.b f...

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  16. Consider the following relations: R={(x,y)|(x,y " are real numbers ...

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  17. Let N be the set of natural numbers and for a in N, aN denotes the set...

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  18. Let A and B be two sets containing four and two elements, respectively...

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  19. If the numbers of different reflexive relations on a set A is equal to...

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  20. Let R = {(x, y) : x, y in N and x^2-4xy+3y^2 = 0}, where N is the set...

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