Math Problem Statement

These tables define the operations of the circle with a + inside and the star on a set of four elements: 0, 1, 2, and 3. For example 1 (circle with + inside) 3 = 2, because 2 is in the box to the right of 1 and below 3 in the circle with a + inside's table. Show that the star is associative in this case.

Solution

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Math Problem Analysis

Mathematical Concepts

Binary Operations
Associativity

Formulas

-

Theorems

Associative Property of Binary Operations

Suitable Grade Level

Advanced High School or Undergraduate Level