What's the difference between combinatorial and combinatoric?

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Combinatorics is a mathematical field focused on counting, arrangement, and combination. The term "combinatorial" is typically used to describe results or arguments arising from this discipline, similar to "analytical" or "algebraic." The adjective "combinatoric" is also used interchangeably with "combinatorial," particularly in describing approaches to problems. There is a consensus that there is no significant difference between the two terms. Understanding these nuances can enhance clarity in mathematical discussions.
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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".
 
I think he was asking about combinatoric as an adjective .. i.e. ... a combinatoric approach.

I am pretty sure there is no difference.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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