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Question: Answered & Verified by Expert
If $n(A)=n(B)-m$, then the number of possiblc bijection from $A$ to $B$ is
MathematicsFunctionsCOMEDKCOMEDK 2018
Options:
  • A $m$
  • B $m^{2}$
  • C $m$ !
  • D $2 \mathrm{~m}$
Solution:
2822 Upvotes Verified Answer
The correct answer is: $m$ !
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. $m !$.

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