What's the difference between combinatorial and combinatoric?

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In summary, combinatorial and combinatoric are branches of mathematics that involve counting and arranging objects in a systematic way. While they are often used interchangeably, the main difference between the two is their focus - combinatorial focuses on enumeration and classification, while combinatoric focuses on the properties of arrangements and combinations. Both involve using mathematical principles and have similarities, but understanding the difference is important for choosing the right approach to solving problems and understanding the relationships between mathematical concepts.
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tgt
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If any.
 
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Combinatorics is a branch of mathematics, like analysis or algebra.

The adjective "combinatorial" usually describes some argument or result derived through this field, compare with calling a result "analytical" or "algebraic".
 
  • #3
I think he was asking about combinatoric as an adjective .. i.e. ... a combinatoric approach.

I am pretty sure there is no difference.
 

1. What is combinatorial and combinatoric?

Combinatorial and combinatoric are both branches of mathematics that deal with counting and arranging objects or elements in a systematic way. They are often used interchangeably, but there are slight differences between the two.

2. What is the main difference between combinatorial and combinatoric?

The main difference between combinatorial and combinatoric is the focus of each branch. Combinatorial focuses on the enumeration and classification of different arrangements or combinations of objects, while combinatoric focuses on the study of the properties of those arrangements or combinations.

3. Can you give an example of combinatorial and combinatoric problems?

An example of a combinatorial problem would be counting the number of ways to arrange a set of letters to form different words. An example of a combinatoric problem would be determining the number of possible ways to select a committee from a group of people with different skills and backgrounds.

4. Are there any similarities between combinatorial and combinatoric?

Yes, both combinatorial and combinatoric involve using mathematical principles and techniques to solve problems related to counting and arranging objects. They are also closely related to other branches of mathematics such as probability and graph theory.

5. Why is understanding the difference between combinatorial and combinatoric important?

Understanding the difference between combinatorial and combinatoric can help you choose the right approach to solve a specific problem. It can also help you to better understand the relationships between different mathematical concepts and how they can be applied in real-world situations.

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