Let S = {1, 2, 3, …..,n} and A = {(a, b) |1≤ a, b ≤ n} = S x

1.	Let S = {1, 2, 3, …..,n} and A = {(a, b) \|1≤ a, b ≤ n} = S x S. A subset B of A is said to be a good subset if (x, x) ∈ B for every x ∈ S. Then the number of good subsets of A is – (A) 1 (B) 2n (C) 2n(n–1) (D) 2n2
Answer» Correct :- (C) 2^n(n–1) Explanation :- Good subset is total number of symmetric subset

Let S = {1, 2, 3, …..,n} and A = {(a, b) |1≤ a, b ≤ n} = S x S. A subset B of A is said to be a good subset if (x, x) ∈ B for every x ∈ S. Then the number of good subsets of A is – (A) 1 (B) 2n (C) 2n(n–1) (D) 2n2

Answer»

Correct :- (C) 2^n(n–1)

Explanation :-

Good subset is total number of symmetric subset

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Let S = {1, 2, 3, …..,n} and A = {(a, b) |1≤ a, b ≤ n} = S x S. A subset B of A is said to be a good subset if (x, x) ∈ B for every x ∈ S. Then the number of good subsets of A is – (A) 1 (B) 2n (C) 2n(n–1) (D) 2n2

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