QJEEM24Ma37dc: JEE Main 2024 Mathematics - Class 11 JEEM24Ma37dc Solution: Let A = { ( x , y ) : 2 x + 3 y = 23 , x , y ∈ N } and B = { x…

Question

Verified Solution • 2025–26 Session moderate

QJEEM24Ma37dc: JEE Main 2024 Mathematics - Class 11 JEEM24Ma37dc Solution: Let A = { ( x , y ) : 2 x + 3 y = 23 , x , y ∈ N } and B = { x…

Let $A = {(x, y) : 2 x + 3 y = 23, x, y \in N}$ and $B = {x : (x, y) \in A}$ . Then the number of one-one functions from $A$ to $B$ is equal to _________.

Related Learning Resources & Exam Preparation

JEE Main PYQ Question Bank

Browse year-wise authentic previous years' questions with solutions

Authentic CBT Mock Tests

Simulate official exam environment with live timer and percentile scoring

Accepted Answer

$\begin{aligned} A = {(x, y); 2 x + 3 y = 23, x, y \in N} \\ A = {(1, 7), (4, 5), (7, 3), (10, 1)} \\ B = {x : (x, y) \in A} \\ B = {1, 4, 7, 10} \end{aligned}$

So, total number of one-one functions from A to B is $4! = 24$

QJEEM24Ma37dc: JEE Main 2024 Mathematics - Class 11 JEEM24Ma37dc Solution: Let A = { ( x , y ) : 2 x + 3 y = 23 , x , y ∈ N } and B = { x…

Step-by-Step Verified Solution

Related Learning Resources & Exam Preparation