Let A be the set of distinct letters of the English word LEVEL and let B = {L, E, V}. Which statement is correct?
Answer and explanation
Correct answer: A = B
Although the word LEVEL has five positions, its distinct letters are only L, E, and V because L and E are repeated. Sets do not record repetition, so A = {L, E, V}. This is exactly the set B, meaning A and B have the same elements and are equal. Therefore, option A is correct, while option D incorrectly counts repeated occurrences.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
Although the word LEVEL has five positions, its distinct letters are only L, E, and V because L and E are repeated. Sets do not record repetition, so A = {L, E, V}. This is exactly the set B, meaning A and B have the same elements and are equal. Therefore, option A is correct, while option D incorrectly counts repeated occurrences.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
