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Let A = {1,2,3}. Then number of relation...

Let A = {1,2,3}. Then number of relations containing (1,2) and (1,3) which are reflexive and symmetric but not transitive is

A

1

B

2

C

3

D

4

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A
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KUMAR PRAKASHAN-RELATIONS AND FUNCTIONS -MISCELLANEOUS EXERCISE - 1
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  3. If f: R rarrR is defined by f(x) =x^(2)-3x+2 , find f(f(x)).

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  9. Given a non - empty set, X , consider the binary operation ** : P(X) x...

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  10. Find the number of all onto functions from the set {1,2,3,.......,n} t...

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  11. Let S = {a,b,c} and T = {1,2,3} . Find F^(-1) of the following functio...

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  12. Let S = {a,b,c} and T = {1,2,3} . Find F^(-1) of the following functio...

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  13. Consider the binary operations ** R xx R rarrR and o : RxxR rarrR defi...

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  14. Given a non - empty set X , let **:P(X) xxP(X) rarr P(X) be defined ...

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  15. Define a binary operation ** on the set {0,1,2,3,4,5} as a**b={{:(a+b"...

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  17. Let A = {1,2,3}. Then number of relations containing (1,2) and (1,3) w...

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  18. Let A = {1,2,3}. Then number of equivalence relations containing (1,2)...

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  19. Let f : R rarr R be the Signum Function defined as f(x) = {(1,xgt0),(...

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  20. Number of binary operations on the set {a,b} are

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