In set theory, is a set of letters in the word"MATHEMATICS" finite or infinite?

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:  
\[ \{ M, A, T, H, E, I, C, S \} \]

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:
1. What is the difference between finite and infinite sets?
2. Can a set contain repeated elements?
3. How do you represent a set in mathematical notation?
4. What is the cardinality of a set?
5. 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.

In set theory, is a set of letters in the word 'MATHEMATICS' finite or infinite?

Explore set theory by determining whether the set of letters in the word 'MATHEMATICS' is finite or infinite. Learn about unique elements, finite sets, and cardinality, suitable for students in Grades 6-8.

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