NIMCET 2024 — Mathematics PYQ

Given:

Domain $A=\{1,2,3\}$, so $n(A)=3$

Codomain $B=\{a,b,c,d,e\}$, so $n(B)=5$

For a one-one function:

• The first element in $A$ (1) has 5 choices in $B$.

• The second element in $A$ (2) has 4 choices remaining in $B$.

• The third element in $A$ (3) has 3 choices remaining in $B$.

The number of one-one functions is given by the formula for permutations ${}^n{P}_r$:

Calculating the value:

Correct Option: (C)