Combination and permutation questions

It may seem funny that multiplying no numbers together gets us 1, but it helps simplify a lot of equations. There is a neat trick: When the order doesn't matter, it is a Combination. Combinations and Permutations What's the Difference?

But knowing how these formulas work is only half the battle. In other words, there are 3, different ways that 3 pool balls could be arranged out of 16 balls. In fact there is an easy way to work out how many ways "1 2 3" could be placed in order, and we have already talked about it. Here is an extract showing row So, in Mathematics we use more precise combination and permutation questions

And the total permutations are:. When the order does matter it is a Permutation. Notice that there are always 3 circles 3 scoops of ice cream and 4 arrows we need to move 4 combination and permutation questions to go from the 1st to 5th container.

We can write this down as arrow means movecircle means scoop. In other words choosing 3 balls out of 16, or choosing 13 balls out of 16 have the same number of combinations. How combination and permutation questions ways can first and second place be awarded to 10 people?

How do we do that? But how do we write that mathematically? And the total permutations are:

In English we use the word "combination" loosely, without thinking if the order of things is important. So, we should really call this a "Permutation Lock"! There is a neat trick: Combination and permutation questions are the possibilites: Let us say there are five flavors of icecream: