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Let $A$ and $B$ be sets with cardinalities $m$ and $n$ respectively. The number of one-one mappings from $A$ to $B$, when $m < n$, is

  1. $m^n$
  2. $^nP_m$
  3. $^mC_n$
  4. $^nC_m$
  5. $^mP_n$
in Set Theory & Algebra by Veteran (52.2k points)
edited by | 967 views

3 Answers

+19 votes
Best answer
by Boss (33.8k points)
edited by
+1

Ref:

+8 votes
one to one mapping is permutations of m different thing out of n different thing..
P(n,m)
by Veteran (60.5k points)
+1 vote

Option B

by Boss (11.4k points)
edited by

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