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13 workers are to be assigned to 11 different jobs, one to each job (two workers...

13 workers are to be assigned to 11 different jobs, one to each job (two workers will have no jobs). How many different assignments are possible?

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Answer #1

We basically need to select 11 out of 13 workers and arrange them into 11 jobs. Hence,

Number of different assignments possible = 13P11 = 13! / (13 - 11)! = 13! / 2! = 3113510400

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