The University of Ballygobackwards has three colleges: the College of Science, which has 15 staff, 5 of whom are female; the College of Engineering, which has 8 staff, 4 of whom are female; and the College of Arts, which has 17 staff, 6 of whom are female.

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Chapter9: Counting And Probability
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The University of Ballygobackwards has three colleges:
  • the College of Science, which has 15 staff, 5 of whom are female;
  • the College of Engineering, which has 8 staff, 4 of whom are female;
  • and the College of Arts, which has 17 staff, 6 of whom are female.
 
Each college has a Dean, who is chosen from the staff in that college.
 
What is the total number of ways these three Deans can be chosen?

Answer:

 

How many ways can three Deans be chosen, so that at least one of them is female?

Answer:

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