How many ordered pairs does the equivalence relation with classes {1,2} and {3,4} contain?
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Answer and explanation
Correct answer: 8
Option C is correct. Every equivalence class contributes all ordered pairs formed from its own elements. Class {1,2} contributes (1,1),(1,2),(2,1),(2,2), giving 4 pairs, and class {3,4} contributes another 4 pairs. Pairs joining the two different classes are excluded, so the total is 4+4=8, not 16.
Frequently asked questions
What is the correct answer to this question?
8
Why is this the correct answer?
Option C is correct. Every equivalence class contributes all ordered pairs formed from its own elements. Class {1,2} contributes (1,1),(1,2),(2,1),(2,2), giving 4 pairs, and class {3,4} contributes another 4 pairs. Pairs joining the two different classes are excluded, so the total is 4+4=8, not 16.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Relations and Functions. Topic: Introduction to Relations.
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