Question

If there are 1024 relation from a set A={1,2,3,4,5} to a set B then the number of element in B is

1) 3
2) 2
3 ) 4
4) 8

Answer 1

Answer:

The  correct option is 2) 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 $n=2^{A\times B}$

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

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

Re-write 1024 as $2^{10}$

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

Since, bases are same then equate the power

10 = 5 * B

B = 2

Hence, the number of element in B is 2

Therefore, correct option is 2) 2

Answer 2

Answer:

CORRECT ANSWER IS 2

Step-by-step explanation:

N=2^A*B

1024=2^5*B

2^10=2^5*B

10=5*B

B=2