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

Relations and Functions - Part 2

Solution:

Since $3 < 4$, injective functions from $A$ to $B$ are defined and the total number of such functions is
$^{4}P_{3}=\frac{4!}{\left(4-3\right)!}=4\times3\times2\times1$
$=24$.