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Find the number of equivalence, relation...

Find the number of equivalence, relations on X ={1,2,3),

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Let A (1,2,3). Then, find the number of equivalence relations containing (1,2).

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What is the partition of the set {1,2} induced by the equivalence relation {(1,1),(2,2)} ?

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MBD PUBLICATION-RELATION AND FUNCTION-QUESTION BANK
  1. Let R be a relation on X, If R is symmetric then xRy impliesyRx. If it...

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  2. Suppose a box contains a set of n balls (n gt 4)(denoted by B )of four...

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  3. Find the number of equivalence, relations on X ={1,2,3),

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  4. Let R be the relation on the set R of real numbers such that aRb iff a...

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  5. Find the least positive integer r such that 185 in [r]7

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  6. Find the least positive integer r such that -375 in [r]11

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  7. Find the least positive integer r such that -12 in [r]13

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  8. Find least non negative integer r such that 7xx13xx23xx413 -= r "(mod ...

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  9. Find least non negative integer r such that 6xx18xx27xx(-225) -= r "(m...

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  10. Find least non negative integer r such that 1237"(mod 4)"+985"(mod 4)"...

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  11. Find least non negative integer r such that 1936xx8789 -= r"(mod4)"

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  12. Find least positive integer x, satisfying 276x+128=4 (mod 7).

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  13. Find three positive integers xi,i=1,1,3 "satisfying" 3x -= 2 "(mod 7)"

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  14. Let X ={x,y} and Y ={u,v}. Write down all the functions that can be de...

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  15. Let X and Y be sets containing m and n elements respectively.What is t...

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  16. Let X and Y be sets containing m and n elements respectively.How many ...

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  17. Examine f :R rarr R, f(x) =x^2functions if it is (i) injective (ii) s...

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  19. Examine f:R+ rarr R +, f(x) =x +1/x "where"R+={x in R :x gt 0} functi...

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  20. Examinef:R rarr R ,f(x) =x^3 +1 functions if it is (i) injective (ii)...

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