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The number of constant functions that ca...

The number of constant functions that can be defined from `{1, 2, ………., 100}` to `{a, b, c, …………., z}` is

A

100

B

26

C

`100^(26)`

D

`26^(100)`

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DIPTI PUBLICATION ( AP EAMET)-FUNCTIONS-EXERCISE 1A(FUNCTIONS)
  1. If a set A contains 10 elements and a set B contains 20 elements then ...

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  2. Set A has n elements. The number of functions that can be defined from...

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  3. The number of constant functions that can be defined from {1, 2, ……….,...

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

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  5. The number of one one function that can be defined from {a, b, c, d} i...

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  6. If n ge 2 then the number of surjections that can be defined from {1, ...

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  7. Set A contains 3 elements and set R contains 2 elements. The number of...

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  8. The number of surjections that can be defined from {1, 2, 3, 4, 5} ont...

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  9. The number of surjections that can be defined from {1, 2, 3, 4, 5} ont...

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  10. If A={1, 2, 3, 4, 5}, B={a, b, c, d} then the number of onto functions...

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  11. The number of bijective functions from set A to itself when A contains...

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  12. The number of one one functions that can be defined from {1, 2, 3, 4}...

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  13. The number of linear functions which map from [-1, 1] onto, [0, 2] is

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  14. If f:R rarrR is defined by f(x)=x^(2)+3x+2, then f(x-1)=

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  15. If f:R rarrR is defined by f(x)=x^(2)-3x+2, then f(x^(2)-3x-2)=

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  16. f(x)=4x-1, " if " x gt4 =x^(2)-2, " if " -2 le x le 3 =3x+4," if "...

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  17. Let f: R rarrR be defined by f(x)={{:(x+2, (xle-1)),(x^(2), (-1lexle1)...

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  18. If f(x)=3^(-x)-1, for -1 le x lt0, =tan(x//2), " for "0lexltpi =(x)...

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  19. If f(x)=2x-1, " if " x gt1, =x^(2)+1," if " -1 le xle1," then "(f(1)...

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  20. If f(x)=4x-1," if " x gt4, =x^(2)-2," if " -2 le x le 3, =3x+4," i...

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