Question

let A ={x:1<x<10,x is an odd natural number } and B={ y:90<y<100,y is a prime number}
Write the number of relations from A to B​

Answer 1

Given A ={x:1<x<10,x is an odd natural number }

=> A = { 3,5,7,9 }

•Number of elements in set A = n(A) = 4 ---(1)

and B={ y:90<y<100,y is a prime number}

=> B = { 97 }

• Number of elements in set B= n(B) = 1 ---(2)

$Number \:of \:relations \:from \:A \:to \:B \\= 2^{n(A) \times n(B) }\\= 2^{4 \times 1 }\\= 2^{4} \\= 16$

Therefore.,

$\red { Number \:of \:relations \:from \:A \:to \:B} \green {= 16 }$

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