If U is the set of all lowercase English letters and V = {a, e, i, o, u}, how many elements does the complement V' contain?
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Answer and explanation
Correct answer: 21
The universal set U contains all 26 lowercase English letters. The set V contains the five vowels a, e, i, o, and u. Its complement V' therefore contains every lowercase letter that is not a vowel. Since V is a subset of U, |V'| = |U| − |V| = 26 − 5 = 21. Hence, option B is correct.
Frequently asked questions
What is the correct answer to this question?
21
Why is this the correct answer?
The universal set U contains all 26 lowercase English letters. The set V contains the five vowels a, e, i, o, and u. Its complement V' therefore contains every lowercase letter that is not a vowel. Since V is a subset of U, |V'| = |U| − |V| = 26 − 5 = 21. Hence, option B is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Complement of a Set and Its Properties.
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