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JEE Main 20245 AprilMorning Shift

Exam: JEE Main
Year: 2024
Date: 5 April
Shift: Morning Shift
Subject: Mathematics
Chapter: Functions

JEE Main 2024 · 5 April · Morning Shift · Mathematics · Functions

Let A=\ 1,3,7,9,11\ and B=\ 2,4,5,7,8,10,12\ . Then the total...

Let

A=\{1,3,7,9,11\} \text{ and }B=\{2,4,5,7,8,10,12\}

. Then the total number of one-one maps

f: \mathrm{A} \rightarrow \mathrm{B}

, such that

f(1)+f(3)=14

, is : $Let A=\ 1,3,7,9,11\ and B=\ 2,4,5,7,8,10,12\ . Then the total number of one-one maps f: A arrow B , such that$

Options

A480
B240
C120
D180

Correct answer

B. 240

Step-by-step solution

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

\begin{aligned} & A=\{1,3,7,9,11\} \\ & B=\{2,4,5,7,8,10,12\} \\ & f(1)+f(3)=14 \end{aligned}

(i)

2+12

(ii)

4+10 2 \times(2 \times 5 \times 4 \times 3)=240

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