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Captain Zarnin of Planet Hvan has four job openings for his battle station: Assistant Engineer, Weapons Maintenance, Field Technician, and Radio Specialist. Zarnin has received 24 resumes and found himself less than thrilled about half of them and does not hire them. The rest, he thinks, could fill any of the open posts. In how many ways can Zarnin staff his battle station?

 Jan 27, 2019
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\(\text{digesting all this we see he's got 4 spots with 12 applicants that can fill any of them}\\ \text{there are }\dbinom{12}{4}\cdot 4! =11880 \text{ ways of assigning these distinguishable positions}\)

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 Jan 27, 2019

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