# Combination and permutation examples

The factorial function symbol: We can also use Pascal's Triangle combination and permutation examples find the values. So it is like we are ordering a robot to get our ice cream, but it doesn't change anything, we still get what we want. So, we should really call this a "Permutation Lock"!

Example Our "order of 3 out of 16 pool balls example" is: In English we use the word "combination" loosely, without thinking if the order of things is important. Think about the ice cream being in combination and permutation examples, we could say "move past the first box, then take 3 scoops, then move along 3 more boxes to the end" and we will have 3 scoops of chocolate!

It is often called "n choose r" such as "16 choose 3" And is also known as the Binomial Coefficient. There is a neat trick: And just to be clear:

Think about the ice cream being in boxes, we could say "move past the first box, then take 3 scoops, then move along 3 more boxes to the end" and we will have 3 scoops of chocolate! This is how lotteries work. To help you to combination and permutation examples, think " P ermutation

After choosing, say, number "14" we can't choose it again. Notice that there are combination and permutation examples 3 circles 3 scoops of ice cream and 4 arrows we need to move 4 times to go from the 1st to 5th container. OK, so instead of worrying about different flavors, we have a simpler question: When the order doesn't matter, it is a Combination. So, we should really call this a "Permutation Lock"!

Going back to our pool ball example, let's say we just want to know which 3 pool balls are chosen, not the order. How do we do that? The factorial function symbol: But how do we write that mathematically?

But how do we write that mathematically? Now, I can't describe directly to you how to calculate this, but I can show you combination and permutation examples special technique that lets you work it out. 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. Figuring out how to interpret a real world situation can be quite hard.

Now, I can't describe directly to you how to calculate this, but I can show you a special technique that lets you work it out. Go down to row "n" the top row is 0and then combination and permutation examples "r" places and the value there is our answer. Now we do care about the order.

So it is like we are ordering a robot to get our ice cream, but it doesn't change anything, combination and permutation examples still get what we want. And the total permutations are: And just to be clear: These are the possibilites:

And the total permutations are: So, we should really call this a "Permutation Lock"! Hide Ads About Ads. Example Our "order combination and permutation examples 3 out of 16 pool balls example" is: Notice that there are always 3 circles 3 scoops of ice cream and 4 arrows we need to move 4 times to go from the 1st to 5th container.