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If n ge 2 then the number of surjections...

If `n ge 2` then the number of surjections that can be defined from `{1, 2, 3, ….n}` to `{1, 2}` is

A

2n

B

`._(n)P_(2)`

C

`2^(n)`

D

`2^(n)-2`

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DIPTI PUBLICATION ( AP EAMET)-FUNCTIONS-EXERCISE 1A(FUNCTIONS)
  1. Set A has 3 elements and set B has 4 elements. The number of injection...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. If f(x)=(cos^(2)x+sin^(4)x)/(sin^(2)x+cos^(4)x) for x in R then f(2002...

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  19. If f(0)=0, f(1)=1, f(2)=2 and f(x)=f(x-2)+f(x-3) " for " x=3, 4, 5, ……...

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  20. If f(x)=alphax+beta and f={(1, 1), (2, 3), (3, 5), (4, 7)} then the va...

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