Podcast
Questions and Answers
What is the cardinality of a set representing the number of days in a week?
What is the cardinality of a set representing the number of days in a week?
- 7 (correct)
- 6
- 0
- 5
If Set A represents the set of even numbers from 1 to 10, what is the cardinality of Set A?
If Set A represents the set of even numbers from 1 to 10, what is the cardinality of Set A?
- 10
- 5 (correct)
- 4
- 6
What symbol is used to represent cardinality?
What symbol is used to represent cardinality?
- n(A) (correct)
- |A|
- $\#A$
- {A}
What is the cardinality of the set of prime numbers between 1 and 20?
What is the cardinality of the set of prime numbers between 1 and 20?
If Set B represents the set of multiples of 3 from 1 to 30, what is the cardinality of Set B?
If Set B represents the set of multiples of 3 from 1 to 30, what is the cardinality of Set B?
Which of the following is the correct way to represent the cardinality of a set?
Which of the following is the correct way to represent the cardinality of a set?
What is the cardinality of the set of odd numbers between 1 and 15?
What is the cardinality of the set of odd numbers between 1 and 15?
If Set A = {2, 4, 6, 8, 10} and Set B = {1, 3, 5, 7, 9}, what is the cardinality of the union of Set A and Set B?
If Set A = {2, 4, 6, 8, 10} and Set B = {1, 3, 5, 7, 9}, what is the cardinality of the union of Set A and Set B?
If Set C represents the set of factors of 24, what is the cardinality of Set C?
If Set C represents the set of factors of 24, what is the cardinality of Set C?
What is the cardinality of the set of perfect squares between 1 and 100?
What is the cardinality of the set of perfect squares between 1 and 100?
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Study Notes
- Cardinality refers to the number of elements in a given set and is represented by the symbol "n" enclosed in parentheses with the set name in capital letters.
- Example: Set A, representing primary colors like yellow, red, and blue, has a cardinality of 3.
- Another example: Set B, representing school days in a week (Monday to Friday), has a cardinality of 5.
- Cardinality in counting techniques is essential for determining the number of elements in a set.
- The cardinality of an empty set should be indicated as 0, not as an empty set or null set.
- Example: The set of days in a week has a cardinality of 0 because there are no elements.
- Various examples are provided to calculate the cardinality of sets based on different criteria like prime numbers, even numbers, counting numbers, and multiples/factors of a specific number.
- The importance of correctly identifying the cardinality of sets is highlighted throughout the explanation.
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