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Let E = {1, 2, 3, 4} and F = {1, 2}. The...

Let E = {1, 2, 3, 4} and F = {1, 2}. Then the number of onto functions from E to F is :

A

14

B

16

C

12

D

8

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MODERN PUBLICATION-RELATIONS AND FUNCTIONS -EXERCISE
  1. The total number of subsets of a finite set A has 56 more elements the...

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  2. Out of a group of 20 teachers in a school, 10 teach Mathematics, 9 tea...

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  3. Let E = {1, 2, 3, 4} and F = {1, 2}. Then the number of onto functions...

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  4. The domain of sin^-1 [log3 (x//3)] is :

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  5. Find the period of f(x)=sin^(4)x+cos^(4)x.

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  6. The range of the function f(x)=(x^2+x+2)/(x^2+x+1),x in R , is (a) (...

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  7. Let R = {(1, 3), (4, 2), (2, 4), (2, 3) (3, 1)} be a a relation on the...

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  8. If f : R rarr S, defined by : f(x) = sin x-sqrt3 cosx+1 is onto , then...

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  9. The domain of the function : f(x)= (sin^(-1) (x-3))/(sqrt(9-x^2)) is ...

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  10. The range of the function f(x) = "^(7-x)P(x-3) is :

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  11. The graph of the function y = f(x) is symmetrical about the line x = 2...

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  12. If f(x)=sinx+cosx, g(x)=x^(2)-1, then g{f(x)} is invertible in the dom...

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  13. Let R = {(3, 3), (6, 6), (9, 9), (6, 12), (3, 9), (3, 12),(12,12), (3,...

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  14. Let f: (-1, 1) rarr B be a function defined by (x)=tan^(-1) frac (2x)(...

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  15. The set S""=""{1,""2,""3,""........ ,""12) is to be partitioned into...

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  16. The largest Interval lying in (-pi/2,pi/2) for which the function : f(...

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  17. Let R be the real number. Consider the following subsets of the plane ...

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  18. If A, B and C are three sets such that AnnB = AnnC and AuuB = AuuC, th...

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  19. For real x, let f (x) =x^3+ 5x + 1, then:

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  20. Consider the following relations: R = {(x, y) | x, y are real numbers ...

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