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JEE Main 20249 AprilEvening Shift
Exam
JEE Main
Year
2024
Date
9 April
Shift
Evening Shift
Subject
Mathematics
Chapter
Functions

JEE Main 2024 · 9 April · Evening Shift · Mathematics · Functions

Let A=\ (x, y): 2 x+3 y=23, x, y ∈ ℕ\ and B=\ x:(x, y) ∈ A\ . Then...

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

Correct answer

0

Step-by-step solution

2x+3y=23x=1y=7x=4y=5x=7y=3x=10y=1AB(1,7)1(4,5)4(7,3)7(10,1)10\begin{array}{ll} 2 x+3 y=23 \\ x=1 & y=7 \\ x=4 & y=5 \\ x=7 & y=3 \\ x=10 & y=1 \\ A & B \\ (1,7) & 1 \\ (4,5) & 4 \\ (7,3) & 7 \\ (10,1) & 10 \end{array}
The number of one-one functions from AA to BB is equal to 4 !
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