Permutation and commutators

One can think of a permutation of data or operators in an expression. The difference can be defined as a commutator. As we think of generalizations or abstractions, we can consider permuting for more than two items or objects.

Project: Do students make more complicated errors involving such permutations? Can you come up with such an error? Can you come up wit a generalization of commutator to identity the error or show it to the students?

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About New Math Done Right

Author of Pre-Algebra New Math Done Right Peano Axioms. A below college level self study book on the Peano Axioms and proofs of the associative and commutative laws of addition. President of Mathematical Finance Company. Provides economic scenario generators to financial institutions.
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