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If O={2,1,3} and P={1,2,3}, which statement is correct?

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Answer and explanation

Correct answer: O=P

The governing concept is equality of sets: two sets are equal when they contain exactly the same distinct elements, regardless of the order in which those elements are written. O contains 2, 1, and 3, while P contains 1, 2, and 3. Both therefore have the same members and cardinality 3, so O=P. Options B, C, and D incorrectly treat order as important or claim different sizes.

Related tags

SetsEqual-SetsCardinalityNumber SystemsMathematicsClass 9 Mcq

Frequently asked questions

What is the correct answer to this question?

O=P

Why is this the correct answer?

The governing concept is equality of sets: two sets are equal when they contain exactly the same distinct elements, regardless of the order in which those elements are written. O contains 2, 1, and 3, while P contains 1, 2, and 3. Both therefore have the same members and cardinality 3, so O=P. Options B, C, and D incorrectly treat order as important or claim different sizes.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Number Systems.

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