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Class 10MathematicsSetsThe Empty Set, Finite and Infinite Sets, Equal SetsEasyLevel 4

If A = {a, b, c} and B = {a, c, b, b}, what is the correct conclusion?

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Answer and explanation

Correct answer: A = B

In a set, each element is counted only once, even if it is written repeatedly. Therefore, B = {a, c, b, b} is the same as {a, b, c}. Since A and B contain exactly the same elements, their order does not matter and A = B. Also, B has only three distinct elements, not four.

Tags

setsequal-setsrepeated-elementsThe Empty SetFinite and Infinite SetsEqual Setsthe empty set finite and infinite sets equal setsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

A = B

Why is this the correct answer?

In a set, each element is counted only once, even if it is written repeatedly. Therefore, B = {a, c, b, b} is the same as {a, b, c}. Since A and B contain exactly the same elements, their order does not matter and A = B. Also, B has only three distinct elements, not four.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.

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