Khan Academy
Khan Academy: Generalizing With Binomial Coefficients (Bit Advanced)
Video lesson deriving the formula for finding the probability of k heads in n flips.
Khan Academy
Khan Academy: Probability Using Combinatorics: Example: Lottery Probability
This video shows the probability of winning a 4-number lottery?
Khan Academy
Khan Academy: Binomial Theorem: Binomial Theorem (Part 3)
Intuition behind why binomial expansion involves combinatorics. This segment illustrates how the Binomial Theorem is directly related to combinatorics using (a + b)^3 as an example. Students can clearly see how a binomial expansion...
Khan Academy
Khan Academy: Probability Using Combinatorics: Probability Using Combinations
Thi is a video lesson finding the probability of getting exactly three heads out of eight flips of a coin by calculating combinations.
Khan Academy
Khan Academy: Conditional Probability and Combinations
Video describes finding the conditional probability that a fair coin was picked given there were four heads out of six flips.
Khan Academy
Khan Academy: Probability: Probability of Dependent Events 2
Video lesson demonstrating the probability of getting a certain hand in a game of cards by using combinations. Includes link to additional practice problems. [10:51]
Khan Academy
Khan Academy: Probability Using Combinatorics: Probability of Dependent Events 2
Video lesson demonstrating the probability of getting a certain hand in a game of cards by using combinations. I
Khan Academy
Khan Academy: Probability: Permutations and Combinations 4
Video lesson finding the probability of a specific set of four numbers being the winning set by calculating combinations. [5:10]
Khan Academy
Khan Academy: Permutations and Combinations: Example: Ways to Arrange Colors
Thinking about how many ways you can pick four colors from a group of 6.
Khan Academy
Khan Academy: Probability: Probability Using Combinations
Video lesson finding the probability of getting exactly three heads out of eight flips of a coin by calculating combinations. [9:10]
Loyola University Chicago
Math Flix: Permutations Word Problem
This QuickTime movie discusses permutations, gives examples, and demonstrates how to write the notation. As you watch and listen to the teacher and student interact it helps clarify the thinking behind applying this concept.
Loyola University Chicago
Math Flix: Permutations and Probability
This QuickTime movie introduces permutations and gives examples. A pdf worksheet is available by clicking on the hyperlink at the bottom of the page. As you watch and listen to the teacher and student interact it helps clarify the...
Loyola University Chicago
Math Flix: Permutations Notation and Demonstration
This QuickTime movie discusses permutations, gives examples, and demonstrates how to write the notation. As you watch and listen to the teacher and student interact it helps clarify the thinking behind applying this concept.
Loyola University Chicago
Math Flix: Factorial a Story
This QuickTime movie gives an excellent demonstration of the use of factorials as illustrated in a children's book. As you watch and listen to the teacher and student interact it helps clarify the thinking behind applying this concept.
Loyola University Chicago
Math Flix: Extended Response: Pouring 52 Ounces: Solution
This video presents the solution to a combination problem that requires an extended response to solve it. The teacher and student work through it together to find a sensible solution. As you watch and listen to the teacher and student...
Khan Academy
Khan Academy: Counting With Tables (Video)
This video [1:53] asks the question: How do we keep track of how many robots we've made? You can learn more about what combinatorics is and how we use it at Pixar.
Khan Academy
Khan Academy: Introduction to Combinatorics
This video [1:48] is an introduction to combinatorics. How to create a huge crowd of robots using only a few simple parts.
Khan Academy
Khan Academy: Snake Bots (Video)
In the rest of this lesson, we're gonna look at a few other counting problems that come up when you try to make a large crowd of robots from a small bin of parts. We're gonna be building up to a really powerful formula that you can think...
Khan Academy
Khan Academy: Two Headed Robots (Video)
Video [1:31] What happens if the director changes their mind and asks for two headed robots with different heads? How do you figure the combinations?
Khan Academy
Khan Academy: Counting With Trees (Video)
Tree diagrams allow us to visualize these counting problems using any number of parts. [0:48]
Khan Academy
Khan Academy: Tree Challenge (Video)
In this video (1:152) poses the question: How can trees be combined to count robots with many parts? Now, we need three kinds of parts; heads, bodies, and arms which can't be done with the table. See if you can combine the two diagrams...
Khan Academy
Khan Academy: Casting Challenge (Video)
Now it's your turn to drive. In this video [2:12] we'll present you with a casting challenge to complete using everything we've learned so far. Challenge: Build exactly 12 different robots with a total cost below $300.
Khan Academy
Khan Academy: Casting Problem (Video)
This video [2:32] sets up a more difficult casting problem. How can we count the number of possible casts when given a large set of robots to choose from?
Khan Academy
Khan Academy: Does Order Matter?
This video [1:52] mathematically answers the question "Does order matter?" when creating casts. To keep order from mattering, we need to take the total number of combinations where order does matter and divide that by all the possible...