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Mathematics, 27.11.2019 20:31 sunny6946

The university of ballygobackwards has three colleges: the college of science, which has 10 staff, 6 of whom are female; the college of engineering, which has 9 staff, 4 of whom are female; and the college of arts, which has 12 staff, 10 of whom are female. each college has a dean, who is chosen from the staff in that college.
how many ways can three deans be chosen, so that at least one of them is female?

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