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:

Plants

Plants are multicellular, predominantly photosynthetic eukaryotes of the kingdom Plantae, characterized by their ability to produce their own food through photosynthesis and their unique cell structures.

Fungi

A kingdom of heterotrophic organisms that includes yeasts, molds, and mushrooms, characterized by their chitin cell walls and absorptive nutrition.

Primates

An order of mammals that includes humans, apes, monkeys, and related species, characterized by large brains, forward-facing eyes, and opposable thumbs.

Humans

Homo sapiens; the only extant members of the subtribe Hominina, known for advanced cognitive abilities and societal structures.