If Y={3,3,5,7,7,7}, what is n(Y)?
Answer and explanation
Correct answer: 3
The governing concept is the cardinality of a set. In a set, repeated occurrences of the same element are counted only once. Removing repetitions from Y={3,3,5,7,7,7} gives the distinct set {3,5,7}. Thus n(Y)=3, so option A is correct. Option D incorrectly counts all six written occurrences, while B and C do not represent the number of distinct elements.
Frequently asked questions
What is the correct answer to this question?
3
Why is this the correct answer?
The governing concept is the cardinality of a set. In a set, repeated occurrences of the same element are counted only once. Removing repetitions from Y={3,3,5,7,7,7} gives the distinct set {3,5,7}. Thus n(Y)=3, so option A is correct. Option D incorrectly counts all six written occurrences, while B and C do not represent the number of distinct elements.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: General chapter practice.
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