Math Problem Statement
In set theory, is a set of letters in the word"MATHEMATICS" finite or infinite?
Solution
In set theory, the set of letters in the word "MATHEMATICS" is finite. This is because it contains a limited, countable number of distinct elements (letters).
The distinct letters in "MATHEMATICS" are:
M, A, T, H, E, I, C, S.
Thus, the set can be written as:
This set contains 8 distinct elements, which is a finite number.
Would you like more details on set theory concepts or clarification on this?
Here are 5 related questions:
- What is the difference between finite and infinite sets?
- Can a set contain repeated elements?
- How do you represent a set in mathematical notation?
- What is the cardinality of a set?
- How would you define the power set of the set of letters in "MATHEMATICS"?
Tip: A set in set theory only lists unique elements, even if they appear multiple times in the original source.
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Math Problem Analysis
Mathematical Concepts
Set Theory
Finite and Infinite Sets
Cardinality
Formulas
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Theorems
Basic Set Theory Principles
Suitable Grade Level
Grades 6-8