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Mathematics · JEE | RELATIONS AND FUNCTIONS
हिन्दीGiven below are two statements: Statement I: The total number of relations that can be defined from a finite set \( A \) to a finite set \( B \) with \( n(A) = p \) and \( n(B) = q \) is \( 2^{pq} \). Statement II: The total number of non-empty subsets of a set with \( n \) elements is \( 2^n - 1 \). In the light of the above statements, choose the most appropriate answer from the options given below:
View Answer & Solution
Correct answer · Option A
Both Statement I and Statement II are correct.
Explanation
Both statements are mathematically correct: relations equal subsets of \( A \times B \) (total \( 2^{pq} \)), and non-empty subsets exclude the null set (\( 2^n - 1 \)).
