Set A has three elements and set B has four elements. The number … - Vidyadip

Question

Set $A$ has three elements and set $B$ has four elements. The number of injections that can be defined from $A$ to $B$ is

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Answer

(c) : Since $3<4$, injective functions from $A$ to $B$ are defined and the total number of such functions is
$
{ }^4 P_3=\frac{4 !}{(4-3) !}=4 \times 3 \times 2 \times 1=24 .
$

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