Let and . Define the relation from to by . How many ordered pairs does…

MATHEMATICS · Single correct · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Let

A=\{1,2,3\}

and

B=\{2,3,4,6\}

. Define the relation

R

from

A

B

R=\{(a,b)\in A\times B\mid b=2a \text{ or } a\text{ divides } b\}

. How many ordered pairs does

R

contain? (a)

10

(b)

8

(c)

9

(d)

6