1 / 6

Counting Subsets Warmup

Counting Subsets Warmup. We need a committee. … with 3 professors and 2 students. There are 15 professors and 100 students. How many different committees could we form?. But wait!. I forgot to say. Every committee has to have a woman on it. There are 2 women professors and 35 women students.

cardea
Download Presentation

Counting Subsets Warmup

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Counting Subsets Warmup

  2. We need a committee … with 3 professors and 2 students. There are 15 professors and 100 students. How many different committees could we form?

  3. But wait! I forgot to say. Every committee has to have a woman on it. There are 2 women professors and 35 women students. OK, remove the committees with no women.

  4. But wait! I misspoke. There has to be a woman professor AND a woman student. There are 2 women professors and 35 women students.

  5. But wait! What I really need is to set up 5 committees A, B, C, D, E with disjoint membership. How many ways? If rearranging the same committees to have different names is not considered creating a different set of committees, this number must be divided by 25!

  6. FINIS

More Related