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FAQs on Past Year Paper, Maths(Set - 1), 2017, Class 11, Mathematics - Mathematics (Maths) Class 11 - Commerce

1. What are the different sets in mathematics?
Ans. In mathematics, a set is a collection of distinct objects, considered as an object in its own right. There are various types of sets such as finite set, infinite set, empty set, singleton set, equal sets, equivalent sets, and universal set.
2. How do you represent sets in mathematics?
Ans. Sets are usually represented by capital letters and the elements of the set are enclosed within braces {}. For example, if we have a set of even numbers, we can represent it as {2, 4, 6, 8, ...}.
3. What is the cardinality of a set?
Ans. The cardinality of a set is the number of elements in the set. It is denoted by n(A), where A is the set. For example, if we have a set A = {1, 2, 3}, then the cardinality of A is 3.
4. Can two sets have the same cardinality but different elements?
Ans. Yes, two sets can have the same cardinality but different elements. The cardinality of a set only tells us the number of elements in the set, not the specific elements themselves. For example, the set A = {1, 2, 3} and the set B = {4, 5, 6} both have a cardinality of 3, but their elements are different.
5. What is the difference between a subset and a proper subset?
Ans. A subset is a set that contains all the elements of another set, including itself. On the other hand, a proper subset is a subset that contains all the elements of another set, but not equal to it. In other words, a proper subset is a subset that is not the same as the original set.
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