Set A has 3 elements and set B has 4 elements. The number of inje… - Vidyadip

MCQ

Set A has 3 elements and set B has 4 elements. The number of injection that can be defined from A to B is

A
144
B
12
✓
24
D
64

✓

Answer

Correct option: C.

24

(C)
The number of one-one functions that can be defined from a set A into a finite set B is
${ }^{ n ( B )} P _{ n ( A )} \quad ;$ if $n ( B ) \geq n ( A )$
0 ; otherwise
the total number of injective functions from a set A containing 3 elements to a set B containing 4 elements $={ }^4 P_3=24$.

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