If there are 512 relation from a set A = [1,2,3] to a set B, then find number of elements in B

Mathematics

1 answer:

kramer2 years ago

8 0

<u>EXPLANATION</u><u>:</u>

Given set A = { 1,2,3}

n(A) = 3

Let the n(B) be n

Total number of relations from A to B = 2^(3×n) =2^3n

According to the given problem

Total relations are = 512

⇛2^3n = 512

⇛2^3n = 2⁹

If bases are equal then exponents must be equal

⇛3n = 9

⇛n = 9/3

⇛n = 3

<h3>So, Number of elements in the set B = 3</h3>

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