If A = {a, b, c}, then number of possible non-zero relations in A is(A – InterviewSolution

1.

If A = {a, b, c}, then number of possible non-zero relations in A is(A) 511(B) 512(C) 8(D) 7

Answer»

Answer is (A)

A = {a, b, c}

Number of elements in A = n(A) = 3

Then, numbers of elements in A × A

= n(A × A) = 3² = 9

So, the number of relations in A are

= 2ⁿ – 1 = 2⁹ – 1

= 512 – 1 = 511.

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