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Let n(A) = n. Then the number of all relations on A is

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Let n(A) = n. Then the number of all relations on A is

(A)  2n

(B)  2(n)! 

(C)  2n2

(D)  None of these

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Best answer

Correct option  (C) 2n2

Explanation :

Number of relations on the set A =Number of subsets of A x A = 2n2 (Because n(A x A) = n2 ].

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