Q83 / 180 · COMEDK 2018 · Mathematics

If $n(A)=n(B)-m$, then the number of possiblc bijection from $A$ to $B$ is

  • A
    $m$
  • B
    $m^{2}$
  • Correct answer
    C
    $m$ !
  • D
    $2 \mathrm{~m}$

Solution

If set $A$ and $B$ has $m$ elements, then the number of bijections from $A$ to $B$ is the total number of arrangements of $n$ distinct items taken all at a time, i.e. $m !$.

Hence, the correct answer is option: 'C'.

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