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:

Positive View of Oneself

An individual's perception or attitude towards themselves that is favorable, characterized by self-confidence and self-respect.

Physiological Needs

Basic human necessities such as food, water, shelter, and warmth that must be satisfied for survival.

ERG Theory

A motivational theory developed by Clayton Alderfer that categorizes human needs into three groups: Existence, Relatedness, and Growth, suggesting that individuals are motivated to satisfy these needs.

Clayton Alderfer

An American psychologist known for his expansion of Maslow's hierarchy of needs with the development of the ERG (Existence, Relatedness, Growth) theory.