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Let A = {1,2,3}. Then show that the nmbe...

Let A = {1,2,3}. Then show that the nmber of relations (1,2) and (2,3), whch are reflexive and transitive but not symmetric, is four.

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MODERN PUBLICATION-RELATIONS AND FUNCTION-EXAMPLE
  1. Show that the number of equivalence relation in the set {1, 2, 3} cont...

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  2. Show that the number of equivalence relation in the set {1, 2, 3} cont...

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  3. Let A = {1,2,3}. Then show that the nmber of relations (1,2) and (2,3)...

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  4. Find the number of all one-one functions from set A = {1, 2, 3} to its...

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  5. Find the number of all onto functions formthe set {1,2,3,….,n} to itse...

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  6. Give examples of two one-one function f1 and f2 from R to R such that ...

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  7. Show that if f1 and f2 are one-one maps from r to R, then the product....

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  8. Lert f : X rarr Y be such that fof = f. Show that f is onto if and onl...

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  9. Consider the identity function IN : N rarr N defined as IN (x) = x, fo...

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  10. Find fof^-1 and f^-1 of for the function: f(x) = 1/x, x ne0, also prov...

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  11. Show that the number of binary operations on {1, 2} having 1 as identi...

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  12. Determine whether the following binary operation on the set N is assoc...

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  13. Determine , whether the following binary operation on the set N is ass...

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  14. Consider the binary operation: R xx R rarr R defined as : a** b = |...

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  15. Define a binary operation * on the set A = {0,1,2,3,4,5}, given by a *...

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  16. Given set A = {1,2,3}, then the relation : R = {(1,1),(2,2),(3,3)} is ...

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  17. Give an example of a relation which is symmetric and transitive but no...

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  18. A bijective function is both one-one and onto. (True/False)

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  19. What is the domain of the function f(x) = 1/(x-2)

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  20. If f(x) = {:{(x-2, x<2),(3,x=2),(x+2, x>3):} then, find f(8)

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