समुच्चय \(A=\{1,2,3,4\}\) पर \(R={(a,b):a-b\) (3) से विभाज्य है(}) है। (R) में कितने ordered pairs हैं?
On \(A=\{1,2,3,4\}\), \(R={(a,b):a-b\) is divisible by (3)(}). How many ordered pairs are in (R)?
Explanation opens after your attempt
Correct Answer
A. (6)
Concept
The classes are ({1,4},{2},{3}), so the number of pairs is \(2^2+1^2+1^2=6\). Add the squares of the sizes of the equivalence classes.
Why this answer is correct
The correct answer is A. (6). The classes are ({1,4},{2},{3}), so the number of pairs is \(2^2+1^2+1^2=6\). Add the squares of the sizes of the equivalence classes.
Exam Tip
Classes ({1,4},{2},{3}) हैं, इसलिए pairs की संख्या \(2^2+1^2+1^2=6\) है। Equivalence classes के sizes के squares जोड़ें।
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