Mathematics · Functions

JEE Main 2024 — 9 April, Shift 2 — Question 25

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 $\qquad$

Answer: 24

Numerical answer — enter this value.

$2 \mathrm{x}+3 \mathrm{y}=23$

$\mathrm{x}=1 \quad \mathrm{y}=7$

$x=4 \quad y=5$

$x=7 \quad y=3$

$x=10 \quad y=1$

A B

(1,7) 1

(4,5) 4

(7,3) 7

(10,1) 10

The number of one-one functions from $A$ to $B$ is equal to $4! =24$

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