Question

If there are 512 relations from a set A= 2,3,5 to a set B, then the number of elements in B is

Answer 1

Answer:

answer is 3

Step-by-step explanation:

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Answer 2

Given : There are 512  relations from set A to B.

set A = { 2 , 3 , 5}

To Find :  how many the number of elements in the set B​

Solution:

512 relations from set A to B.

set A = { 2 , 3 , 5}

n(A) = 3

Relation from set A to B.  =  $2^{n(A).n(B)}$

Relation from set A to B = 512  = 2⁹

Equating Both

=> n(A) * n(B) =9

n(A) = 3

=> 3 * n(B) = 9

=> n(B) = 3

number of elements in the set B​  = 3

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