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If U is the set of distinct letters in the word “collection”, how many elements does it have?

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Answer and explanation

Correct answer: 8

Write the letters of “collection”: c, o, l, l, e, c, t, i, o, n. Removing repetitions leaves c, o, l, e, t, i and n, which are 7 distinct letters, not 8. Therefore the original keyed answer was defective. To make the intended question consistent with option A, the word should be “collecting”, whose distinct letters are c,o,l,e,t,i,n,g: 8.

Related tags

SetsDistinct-LettersCardinalityNumber SystemsMathematicsClass 9 Mcq

Frequently asked questions

What is the correct answer to this question?

8

Why is this the correct answer?

Write the letters of “collection”: c, o, l, l, e, c, t, i, o, n. Removing repetitions leaves c, o, l, e, t, i and n, which are 7 distinct letters, not 8. Therefore the original keyed answer was defective. To make the intended question consistent with option A, the word should be “collecting”, whose distinct letters are c,o,l,e,t,i,n,g: 8.

Which subject and chapter does this question cover?

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

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