How Many Permutations Are There of the Digits in the String

question 13

Essay

How many permutations are there of the digits in the string 12345 that leave 3 fixed but leave no other integer fixed? (For instance, 24351 is such a permutation.)

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Definitions:

Explaining

The act of making something clear or easy to understand by describing or giving information about it.

Attitudes

Mental and emotional entities that inhabit our likes and dislikes, influencing how we react to various objects, people, and situations.

Evolutionary Artifacts

Physical or cultural remnants from the past that have been shaped by evolutionary processes and may still influence modern human behavior or society.

Decision-Making

The act of choosing between two or more courses of action in situations of uncertainty or complexity.