1.Relation and Function
hard

ધારો કે $\mathrm{A}=\{1,3,7,9,11\}$ અને $\mathrm{B}=\{2,4,5,7,8,10,12\}$. તો $f(1)+f(3)=14$ થાય તેવા એક-એક વિધેયો $f: A \rightarrow B$ ની કુલ સંખ્યા .......... છે.

A

$180$

B

$120$

C

$480$

D

$240$

(JEE MAIN-2024)

Solution

$ A=\{1,3,7,9,11\} $

$ B=\{2,4,5,7,8,10,12\} $

$ f(1)+f(3)=14 $

$ \text { (i) } 2+12 $

$ \text { (ii) } 4+10 $

$ 2 \times(2 \times 5 \times 4 \times 3)=240$

Standard 12
Mathematics

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