2) Consider the following recursive definition of 4-PERMUTATION: Rule 1: 4321 is a 4-PERMUTATION. Rule 2: If wxyz is a 4-PERMUTATION, then so are zxyw and yxzw. Rule 3: no other words belong to 4-PERMUTATION. Give all the words in the language 4-PERMUTATION.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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2) Consider the following recursive definition of 4-PERMUTATION:
Rule 1: 4321 is a 4-PERMUTATION.
Rule 2: If wxyz is a 4-PERMUTATION, then so are zxyw and yxzw.
Rule 3: no other words belong to 4-PERMUTATION.
Give all the words in the language 4-PERMUTATION. 

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