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Let '*' be the binary operation defined ...

Let '*' be the binary operation defined on R by a*b = 1 + ab `AA a,binR`
both commutative and associative.

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MODERN PUBLICATION-RELATIONS AND FUNCTION-EXAMPLE
  1. Let '*' be the binary operation defined on R by a*b = 1 + ab AA a,binR...

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  2. Let '*' be the binary operation defined on R by a*b = 1 + ab AA a,binR...

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  3. Let '*' be the binary operation defined on R by a*b = 1 + ab AA a,binR...

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  4. Is the binary operation'*' defined on Z (set of integers) by m*n = m-n...

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  5. Let f : X rarr Y be an function. Define a relation R in X given by : R...

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  6. If R1 and R2 are equivalence relations in a set A, show that R1 nn R...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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