Mathematics · Functions

JEE Main 2024 — 5 April, Shift 1 — Question 7

Let $\mathrm{A}=\{1,3,7,9,11\}$ and $\mathrm{B}=\{2,4,5,7,8,10,12\}$ . Then the total number of one-one maps $f: A \rightarrow B$ ,

such that $f(1)+f(3)=14$ , is :

Answer: D

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

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

$\mathrm{f}(1)+\mathrm{f}(3)=14$

(i) $2+12$

(ii) $4+10$

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

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