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How Many Permutations of 12345 Are There That Leave 3

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


Definitions:

Patient Treated

A person who has received medical care or treatment.

Economic Growth

The increase in the inflation-adjusted market value of the goods and services produced by an economy over time, typically measured as the percentage increase in real gross domestic product (GDP).

Mid-20th Century

Refers to the period approximately from the 1940s to the 1950s, marking significant global events including World War II and the beginning of the Cold War.

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The process of building up the capital stock of a country through investing in productive plants and equipment.

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