Question

there are 4096 relations from a set A ti a set B. if the set A has 6 elements, then how many the number of elements is the set B.​

Answer 1

Given :  There are 4096 relations from set A to B.

set A has 6 elements,

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

Solution:

4096 relations from set A to B.

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

Relation from set A to B = 4096  = 2¹²

Equating Both

=> n(A) * n(B) = 12

n(A) = 6

=> 6 * n(B) = 12

=> n(B) = 2

number of elements in the set B​  = 2

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