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 two different ways, …

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 many ways …

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 the …

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 handshakes is …

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 objects, it is …

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