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Let A be the set of distinct letters in the English word GANIT. How many elements does A have?

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Answer and explanation

Correct answer: 5

The word GANIT contains the letters G, A, N, I, and T. None of these five letters is repeated, so the set of distinct letters is {G, A, N, I, T}. The cardinality of a set counts each different element only once, giving |A| = 5. Therefore, option B is the correct answer.

Tags

setsdistinct-elementscardinalityset-representationmathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

5

Why is this the correct answer?

The word GANIT contains the letters G, A, N, I, and T. None of these five letters is repeated, so the set of distinct letters is {G, A, N, I, T}. The cardinality of a set counts each different element only once, giving |A| = 5. Therefore, option B is the correct answer.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets.

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