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Let A be a finite set containing n eleme...

Let A be a finite set containing n elements, then the number of relations on A is

A

`2^(n)`

B

`n^(2)`

C

`2^(n2)`

D

`4^(n)`

Text Solution

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The correct Answer is:
C
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AAKASH INSTITUTE ENGLISH-RELATIONS AND FUNCTIONS -Assignment (Section - A) Objective Type Questions (one option is correct)
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  2. Which of the following can represent a linear function for each x in R...

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  3. Let A be a finite set containing n elements, then the number of relati...

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  4. Let A be a finite set containing n distinct elements. The number of fu...

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  5. Let A and B infinite sets containing m and n elements respectively. Th...

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  6. Let A = {1, 2, 3}. Which of the following relations is a function from...

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  7. Let R1 and R2 be equivalence relations on a set A, then R1uuR2 may or ...

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  8. Let R be the relation defined on the set N of natural numbers by the r...

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  9. Let a = {a, b, c} and R = {(a, a), (b, b), (c, c), (b, c), (a, b)} be ...

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  10. Let A = {1, 2, 3} and R = {(1, 1), (2,2), (1, 2), (2, 1), (1,3)} then ...

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  11. Let A = {1, 2, 3}. Which of the following is not an equivalence relat...

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  12. Which of the following relations is a function?

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  13. Let A = {1, 2, 3}, B = { 2, 3, 4} , then which of the following is a f...

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  14. The function f: NvecN(N is the set of natural numbers) defined by f(n)...

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  15. Let f : R rarr R be defined by f(x) = x^(2) - 3x + 4 for all x in R, t...

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  16. If f is a function form a set A to A, then f is invertible iff f is

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  17. Let f : R rarr R, g : R rarr R be two functions given by f(x) = 2x - 3...

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  18. Set A has 3 elements and set B has 4 elements. The number of injection...

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  19. Find the number of surjections from A to B, where A={1,2,3,4}, B={a,b}...

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  20. Let A and B be two finite sets having m and n elements respectively. T...

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