1. Tardigrade
  2. Question
  3. Mathematics
  4. If A = 1, 3, 5, 7 and B = 1, 2, 3, 4, 5, 6, 7, 8 then the number of one-to-one functions from A into B is

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Q. If $A = \{1, 3, 5, 7\}$ and $B = \{1, 2, 3, 4, 5, 6, 7, 8\}$, then the number of one-to-one functions from $A$ into $B$ is

Relations and Functions - Part 2

Solution:

Number of one-one functions from A to B
$=^nC_m \times m!, $ Where n $\geq$ m
$=\,{}^8C_4 \times 4!=1680$