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An academic building consists of two floors. There are 10 offices on each floor including 3 corner offices. If there are 15 faculties in the

An academic building consists of two floors. There are 10 offices on each floor including 3 corner offices.

If there are 15 faculties in the department out of which 4 of them preferred corner offices, in how many ways can you assign offices to all faculties that agree with their preference?

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