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
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Answer 1

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We know that no. of relations from A to B are no. of subsets of (A x B).

No. Of elements in (A x B) = n(A x B) = n(A) * n(B)

Therefore no. Of subsets of (A x B) = 2^n(A)*n(B)

512 = 2^3*n(B)

2^9 = 2^3*n(B)

9=3*n(B)

n(B) = 3

Answer 2

Step-by-step explanation:

9

The no of subsets of a set having n elements is 2

n

Here 2

n

=512

2

n

=2

9

n=9