Question

If there are 1024 relations from a set = {1,2,3,4, 5} to a set , then the number of elements

of B.​

Answer 1

Answer:

n (B) =2

Step-by-step explanation:

We need to find the number of element in B

Given: Relation is 1024 and set A ={1,2,3,4,5}

The relation is calculated as n=2^{A\times B}n=2

A×B

Since Relation from a set A to B is 1024 and element in A is 5.

1024=2^{5\times B}1024=2

5×B

Re-write 1024 as 2^{10}2

10

2^{10}=2^{5\times B}2

10

=2

5×B

Since, bases are same then equate the power

10 = 5 * B

B = 2