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The total number of injective mappings f...

The total number of injective mappings from a set with melements to a set with n elements, m `le `n, is

A

`m^n`

B

`n^m`

C

`(n!)/((n-m)!)`

D

`n!`

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The correct Answer is:
C
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ML KHANNA-FUNCTIONS-PROBLEM SET (2)
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  2. If f: R to R is defined by f (x)= x^2 + 1, then values of f^(-1) (17) ...

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  3. Which of the statements given below is different from the other?

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  4. Find the domain and range of f (x)= x^2 //(1+x^2)(x real). Is the func...

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  5. If A={x:-1 le x le 1} = B. Discuss the following functions w.r.t. one...

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

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  7. The number of surjections from A={1,2,... n}, n ge 2, onto B = {a,b} ...

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

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  9. The total number of injective mappings from a set with melements to a ...

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  10. Let A be a set containing 10 distinct elements, then the total number ...

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  11. If the mappings f : A to B and g: B to C are both bijective, then th...

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

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  13. Let A = {0,1} and N the set of all natural numbers. Then the mapping ...

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  14. Let f be an injective map with domain {x,y,z) and range {1,2,3} such t...

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

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  16. If f:(-1,1) to B be a function defined by f (x) = tan^(-1) ((2x)/(1-x...

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

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  18. Let R be the real line. Consider the following subsets of the plane R...

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  19. If f: R to S defined by f (x) = sin x - sqrt(3) cos x + 1 is onto, t...

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  20. Let W denote the words in the English dictionary. Define the relation ...

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