Let A = \ 2,3,4\ and B = \ 8,9,12\. Then the number of elements in the relation\ R = \( ( a_1,b_1 ),( a_2,b_2 ) ) in (A x B,A x B):a_1 divides\ b_2 and a_2 divides b_1\ is

(c) : a_1 divides b_2\ Each element has 2 choices.\ => 3 x 2 = 6 a_2 divides b_1\ Each element has 2 choices.\ => 3 x 2 = 6 Therefore Total number of relation is, 6 x 6 = 36

Let A = { 2,3,4} and B = { 8,9,12}. Then the number of ... | Relation (Mathematics)

JEE Mains ( $10^{th\ }$ April $2^{nd\ }$ Shift 2023) 10th April Shift 2

Mathematics

Let

A = \{ 2,3,4\}

and

B = \{ 8,9,12\}

. Then the number of elements in the relation\\

R = \{\left( \left( a_{1},b_{1} \right),\left( a_{2},b_{2} \right) \right) \in (A \times B,A \times B):a_{1}

divides\\

b_{2}

and

a_{2}

divides

b_{1}\}

18\\

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Explanation

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