Question

A={2,3} ,B={1,3,5}

then the number of

relations from A to B is …… ​

Answer 1

A n B = ( 3)

A U B = ( 1, 2, 3, 5)

Answer 2

Answer:

Number of relations from A to B = 64

Step-by-step explanation:

Given,

A={2,3} ,B={1,3,5}

To find,

The number of relations from A to B

Recall the formula

If the number of elements in the set A is 'p' and the number of elements in the set B is 'q', Then the number of elements in the set A×B is given by

n(A×B) = n(A) ×n(B) = p×q

The number of relations from A to B = no of subsets of A×B = $2^{pq}$

Solution:

We have,

A={2,3} ,B={1,3,5}

n(A) = 2

n(B) = 3

n(AxB) = 2x3 = 6

∴ Number of relations from A to B = $2^{6}$ = 64

#SPJ3