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If J = {x : x is a letter in the word STATISTICS}, which is the correct roster form?

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Answer and explanation

Correct answer: J = {S, T, A, I, C}

The word STATISTICS contains the letters S, T, A, T, I, S, T, I, C, S. In a set, each element is written only once because repetition does not create a new element. Thus the distinct letters are S, T, A, I, and C. Their order in roster form is not important, so option A correctly represents J.

Tags

setsroster formdistinct elementsrepetitionSets and their representationsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

J = {S, T, A, I, C}

Why is this the correct answer?

The word STATISTICS contains the letters S, T, A, T, I, S, T, I, C, S. In a set, each element is written only once because repetition does not create a new element. Thus the distinct letters are S, T, A, I, and C. Their order in roster form is not important, so option A correctly represents J.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.

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