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Let n(A) = n, then the number of all rel...

Let n(A) = n, then the number of all relations on A, is

A

`2 ^(n)`

B

` 2 ^((n )!)`

C

`2 ^(n^(2))`

D

`n ^(2)`

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The correct Answer is:
C
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TARGET PUBLICATION-SETS, RELATIONS AND FUNCTIONS-CRITICAL THINKING
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  2. Let A and B be two sets such that AxxB consists of 6 elements. If thre...

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  8. If R is a relation from a finite set A having m elements to a finite s...

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  10. Prove that the relation congruence modulo m on the set Z of all int...

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  11. Which one of the following relations on R is an equivalence relation?

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  12. Let R be an equivalence relation on a finite set A having n elements....

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  13. Let R be relation on a set A such that R=R^(-1) then R is

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  14. The relation R defined in N as aRbimpliesb is divisible by a is

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  15. The relation is subset of on the power set P (A) of a set A is

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  16. Let P={(x,y)|x^(2)+y^(2)=1,x,yinR}. Then, R, is

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  17. R is a relation from {11, 12, 13} to {8, 10, 12} defined by y=x-3 ....

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  18. If R be a relation from A = {1,2,3,4} to B= {1,3,5} i.e., (a,b) in R...

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  19. If f (x) = x^(2) -2x + 3, then the value of x for which f (x) = f(x +1...

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