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AP EAMCET202317 May 2023Morning ShiftMathematicsFunctionsActual

If a set A has n elements, then the number of functions defined from A to A that are not one-one is

Options

  1. A(n)^ n^2
  2. Bn !- ( ^ n C ₀+ ^ n C ₁+ ^ n C ₂+ + ^ n C _ n )
  3. Cn ^ n - n !
  4. Dn ^ n

Correct answer

C. n ^ n - n !

Step-by-step solution

No. of functions from A to A=n^n No. of one-one functions = n ! (n-n) ! =n ! No. of functions defined from A to A that are not oneone =n^n-n !

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