किसी (n) अवयव वाले समुच्चय (A) पर कुल कितने संबंध संभव हैं?
How many relations are possible on a set (A) having (n) elements?
Explanation opens after your attempt
Correct Answer
A. \(2^{n^2}\)
Concept
\(A\times A\) has \(n^2\) ordered pairs, and a relation can be any subset of it. Hence the number of relations is \(2^{n^2}\).
Why this answer is correct
The correct answer is A. \(2^{n^2}\). \(A\times A\) has \(n^2\) ordered pairs, and a relation can be any subset of it. Hence the number of relations is \(2^{n^2}\).
Exam Tip
\(A\times A\) में \(n^2\) ordered pairs होते हैं और relation उसका कोई भी उपसमुच्चय हो सकता है। इसलिए कुल \(2^{n^2}\) संबंध बनते हैं।
Login to save your score, XP, coins and progress.