How Many Permutations of 12345 Are There That Leave 3

question 3

Short Answer

How many permutations of 12345 are there that leave 3 in the third position but leave no other integer in its own position?

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Definitions:

Disease Prevention

Measures taken to prevent the occurrence of disease or reduce its impact.

Health Promotion

Activities or interventions aimed at enhancing well-being and preventing health problems by encouraging healthy behaviors.

Family Hardiness

The strength and resilience a family exhibits in the face of stress and adversity, contributing to their ability to cope and adapt.

Resiliency

The ability to recover quickly from difficulties; mental toughness and adaptability in the face of adversity.