Pixar in a Box
- Start here!
- Introduction to combinatorics
- 1. Counting with tables
- Table of combinations
- 2. Robot combinations
- Robot combinations
- 3. Tree challenge
- 4. Counting with trees
- Tree of combinations
- 5. Casting challenge
- Casting challenge
- Getting to know Fran Kalal
- Hands-on activity
2. Robot combinations
Let's review the multiplication principle which allows us to quickly count the number of possible robots.
Want to join the conversation?
- wall-e being assaulted by the kid's toy...(11 votes)
- When it comes to making robots, what other ways can you make them? Can you use more than one body? Four arms and six legs?(4 votes)
- Does this topic seem fun or what?! :)(3 votes)
- How do I turn off the closed captioning?(2 votes)
- Not sure if you've figured this out yet, but in case you haven't, you click on the "CC" icon on the bottom-right corner on the video.(2 votes)
- In the previous video and exercise, we saw how a table is a great way to keep track of a lot of different kinds of robots, where each robot is made up of one head and one body. Let's call each of those different robots a combination. You experience combinations all the time. For instance, when you wake up in the morning and you pick out a top and some bottoms to wear, that's a combination. Notice that since each cell in the table corresponds to a different combination, we just need to count the number of cells, but we don't have to count one by one. That's because the number of cells in a table is just the number of rows times the number of columns. So, with two heads and three bodies, we have two times three or six different combinations. And, with three heads and four bodies, we have three times four or 12 different combinations. The next exercise will give you a chance to practice with other combinations.