You are taking five courses this semester: one English, one Math, and three Computing courses. You bought six binders for notes, one for each course plus one for general notes.

How many ways can you allocate binders to courses and general notes

1) So that each binder colour is used for only one course subject?

2) So that each course subject has only one binder colour?

for these scenarios:

1) You bought three red, two blue, and one green binder. (Yes, “binder” is correct. My thanks to Sara Wolfe of Thompson Rivers University’s Writing Centre.)

2) You bought two red, two blue, and two green binders.

For each question, the general notes binder is not for a course, and each course in a subject should be considered distinct, but the binders of each colour are not distinct from each other.

Submit your answer to Gene Wirchenko <genew@telus.net>. Your answer should be in the form of a proof. That means to show how your answer must be correct. **The deadline is Wednesday, September 24, 2014 at noon Pacific Time.** I will post the answer shortly after.