If A = {x : x is a letter in the word LEVEL}, how many elements are in A?
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Answer and explanation
Correct answer: 3
The letters appearing in LEVEL are L, E, V, E, and L. In a set, repeated elements are written and counted only once. Therefore, the set is A = {L, E, V}. It has three distinct elements, so the cardinality of A is 3, not 5, because the repeated L and E are not counted again.
Frequently asked questions
What is the correct answer to this question?
3
Why is this the correct answer?
The letters appearing in LEVEL are L, E, V, E, and L. In a set, repeated elements are written and counted only once. Therefore, the set is A = {L, E, V}. It has three distinct elements, so the cardinality of A is 3, not 5, because the repeated L and E are not counted again.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.
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