ACtE08 · Chapter 8Demo2 · Set 2🏛️ Past Licensure QuestionID: 53b58b02
In set theory, what is the cardinality of the finite set ?
In set theory, what is the cardinality of the finite set ?
Multiple Choice Options
- A✓ Correct Option
4
- B
5
- C
3
- D
0
Detailed Technical Solution & Explanation
The cardinality of a finite set , denoted or , is defined as the total number of distinct elements contained within the set. For the set:
Counting the unique elements: and , there are exactly 4 distinct elements. Thus, .
Option Analysis:
•
Option A (4): Correct; the set contains exactly 4 distinct members.
•
Option B (5): Incorrect; off-by-one count.
•
Option C (3): Incorrect; undercount.
•
Option D (0): Incorrect; cardinality of the empty set ().
Reference: Demo2 · Set 2NEC Licensure Syllabus