Question

10. If A={2,3), B=(1,3,5), number of relations from A to B will be
a) 8
b) 6
C) 64
d) 37​

Answer 1

Answer:

It is given that A={x,y,z} and B={1,2}

∴ A×B={(x,1),(x,2),(y,1),(y,2),(z,1),(z,2)}

Since n(A×B)=6

The number of subsets of A×B is 2

6

.

Step-by-step explanation:

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Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

If A = {2,3} , B = {1,3,5} , number of relations from A to B will be

a) 8

b) 6

c) 64

d) 37

EVALUATION

We know that for given two sets A and B a relation from A to B is a subset of A × B

Here the given sets are A = {2,3} , B = {1,3,5}

So we have

n(A) = 2 , n(B) = 3

Thus we get

n(A × B)

= n(A) × n(B)

= 2 × 3

= 6

Also if a set S contains n elements then then number of subsets of S

$\sf = {2}^{n}$

Hence the required number of relations from A to B

= Number of subsets of A × B

$\sf = {2}^{6}$

$\sf = 64$

FINAL ANSWER

Hence the correct option is c) 64

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