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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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.

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.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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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