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Let n(A) = m and n(B) = n, then the numb...

Let n(A) = m and n(B) = n, then the number of non-empty relations from A to B is

A

`m^(n)`

B

`n^(m) - 1`

C

`mn -1`

D

`2^(mn) - 1`

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The correct Answer is:
D
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AAKASH INSTITUTE ENGLISH-RELATIONS AND FUNCTIONS -Assignment (Section - A) Objective Type Questions (one option is correct)
  1. Which of the following is a function ?

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  2. If f : R rarr R be defined as f(x) = 2x + |x|, then f(2x) + f(-x) - f...

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  3. Let n(A) = m and n(B) = n, then the number of non-empty relations from...

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  4. If f(x) = ax + b, where a and b are integers, f(-1) = -5 and f(3) = 3,...

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  5. Domain of the functions f defined b f(x) = (5-x)/(x-5) is

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  6. Domain of the function f defined by f(x) = sqrt(x-1) is given by

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  7. The domain of the function f given by f(x)=(x^(2)+2x+1)/(x^(2)-x-6)

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  8. The domain and range of the functions given by f(x)=2-|x-5| are

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  9. The domain of the function (x^(2) + 8x + 9)/(x^(2) - 9x + 20) is

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  10. domain of f(x) = (3)/(2-x^(2)) is

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  11. Range of f(x) = |x-2| is

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  12. Range of f(x) = |x-3| is

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  13. Range of f(x) = (1)/(2x-1) is

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  14. Find the range of the following (i) f(x) = x^(2) (ii) f(x) = x (...

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  15. Range of f(x) = (|x-5|)/(x-5) is

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  16. If f(x) = 3x + 1 and g(x) = x^(2) - 1, then (f + g) (x) is equal to

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  17. If f(x) = 7x + 9 and g(x) = 7x^(2) - 3, then (f - g)(x) is equal to

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  18. If f(x) is an identity function, then f(5) is equal to

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  19. For a constant function f(x), given that f((1)/(2)) = 1/4. The value o...

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  20. Let f: Rvec be the function defined by f(x)=4x-3 for all x in Rdot Th...

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