Our Indiscrete Mathematics course has
  • 25 students from the the College of Arts, 15 of whom are female;
  • 21 students from the the College of Engineering and Informatics, 9 of whom are female;
  • 28 students from the the College of Science, 16 of whom are female.
How many ways can we choose a single class rep?

Answer:

How many ways can we choose three reps, one from each of the three Colleges?

Answer:

How many ways can we choose three reps, one from each of the three Colleges, so that exactly one is female?

Answer:

You can earn partial credit on this problem.