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If A = {1,3,5,7}, B ={2,5), find the num...

If A = {1,3,5,7}, B ={2,5), find the number of relations from A to B

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We have n(A), n(B)=2
`therefore`n(`AxxB`)=n(A)`XX`n(B)= `4xx2`=8
`therefore`No of relations from Ato B.`2^b`=256
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PATHFINDER-RELATIONS , FUNCTIONS AND BINARY OPERATIONS-QUESTION BANK
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  3. Let R be the relation on Z defined by R ={(a,b),a, b in Z,a^2 =b^2} Fi...

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  4. Let R be the relation on Z defined by R ={(a,b),a, b in Z,a^2 =b^2} Fi...

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  5. Consider the relation bot(perpendicular) on a set L of lines in plane....

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  6. Test whether the following relation is reflexive, symmetric, transiti...

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  7. Let R be the relation of congruency on the set A of all triangles in a...

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  8. Let m be fixed positive integer. Tow integers a amd are said to be con...

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  9. Show that the number of equivalence relation on the set (1,2,3) contai...

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  10. Let A={1,2,3....,19,20}. Let R be the equivalence relation on AxxA def...

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  11. Let f : R rarrR be defined as {(2x,+1,xle4),(X,+,4x ge4):} Show that f...

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  12. Whether the following function are to : Rrarr R+ defined by ff(x)=sqrt...

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  13. Let A be a finite set. If f : ArarrA is onto show that f is one- one.

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  14. Let f:RrarrR be a function defined by f(x)=cos(2x+3). Show that this f...

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  15. Let f(x)=(ax)/(x-1),x ne-1.If 10f(x)=x, find the value of a.

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  16. Let f be function defined on [0,1] defined by:f(x)={(x, if, x ,in, q),...

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  17. Find the domain and range of the following function :sqrt((x-1)(3-x))

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  18. If f(x)=sqrt(8x),g(x)=x+2, then

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  19. Let A=[-1,1] and f:ArarrA be a function defined by f(x) =xabsx. Show ...

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  20. Show that the function f:NrarrN defined by f(x)=x^2+x+1inNis not inve...

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