combination is a collection of things without an order or where the order is not relevant. The combination ABC is the same as the combination ACB. Most examples can be approached in …

When order does not matter this is called a combination.

Combinations with Repetition Combinations help us to answer the question "In how many ways can we choose r objects from n objects?" Now, consider the slightly different question: "In how …

In class, you saw Fibonacci numbers and bitstrings with no consecutive 1's. We will prove that the number of such bitstrings of length n is the n + 2th Fibonacci number by showing they satisfy …

Combinations are like permutations, but order doesn't matter. (a) How many ways are there to choose 9 players from a team of 15? (b) All 15 players shake each other's hands. How many …

An easy way to come up with all possible combinations is to use a distribution method. By drawing lines from the objects in question to all other possibilities after it and repeating for all the …

There are 362,880 ways the 9 people can line up for the picture. The formula for combinations also involves factorials.