Chapter 3.4 Good For

This assignment is due 48 hours after the Chapter Test is given.

• Good Fors' solutions can be turned in anytime before 5:00 PM two days after the Chapter Test.
• Good Fors are worth 10 points of extra credit each.
• Answers must be accompanied by valid reasoning. Just like the tests, the answer alone isn't enough!
• Please enter your solution in the text area at the bottom of this page. DON'T FORGET TO GIVE YOUR NAME!

A class consists of 10 students, of whom 4 are women, of whom 3 are married to 3 of the 5 married men in the class. They all spend an evening at a motel that has 2 rooms with 2 single beds each (a double) and 2 rooms with 3 single beds each (a triple). Assuming that only one sex occupies any room except for married couples who may share a double, in how many ways can the students distribute themselves into the rooms?

This problem was assigned on a test by Dr. Crown (retired Professor of Mathematics at IUPUI) and subsequently submitted by the mother of one of his students to Time Magazine. It was reprinted with the cover letter stating that this was an example of "nonsexist mathematics," whatever that is.

Don't forget to explain your answer as clearly as possible.

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I received no help from anyone on this assignment.