Let A = { ( x , y ) : 2 x + 3 y = 23 , x , y ? N } and B = { x : ( x , y ) ? A } . Then the number of one-one functions from A to B is equal to ________ . [2024]

STUDY MATERIALS
COURSES
MORE
SUCCESS STORY
ADMISSION
STORE

Back

JEE ADVANCE

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

JEE MAIN

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

NEET

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

BITSAT

CLASS XI - XII

CLASS XI - XII

CBSE BOARD

CLASS IX

CLASS X

CLASS XI

CLASS XII

CLASS VI

CLASS VII

CLASS VIII

UP BOARD

CLASS IX
CLASS X
CLASS XI
CLASS XII

CLASS IX

CLASS X

CLASS XI

CLASS XII

CUET

CRASH COURSE

CRASH COURSE

Courses

CLASSROOM COURSES
ONLINE COURSES

ONLINE COURSES

More

Solution

Q.
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 ________ . [2024]

Ans.
(24)

We have, $A = {(x, y) : 2 x + 3 y = 23, x, y \in N}$

$B = {x : (x, y) \in A}$

$∴ A = {(1, 7), (4, 5), (7, 3), (10, 1)}$

and $B = {1, 4, 7, 10}$

Total number of one-one functions from A to B = 4! = 24

Want Us to Email you About Special Offers & Updates?