The idea of

The difference between combinations and permutations is that in one, order doesn't matter and in the other, order is very important.

We also bring in the the idea of

We will discuss each of these concepts in class and the associated formulas. We will also see these calculations can be done in the calculator.

__Combinations__and__Permutations__has to do with the number of ways things can be ordered or lined up. These two concepts use the__Fundamental Counting Principle__as the basis for their operation.The difference between combinations and permutations is that in one, order doesn't matter and in the other, order is very important.

We also bring in the the idea of

__Factorial__into the calculation of these two concepts.We will discuss each of these concepts in class and the associated formulas. We will also see these calculations can be done in the calculator.

FUNDAMENTAL COUNTING PRINCIPLE

If event M can happen in m different ways and event N can happen in n different ways, then event M followed by event N can happen in m times n different ways.

Below are problems for fundamental counting principle, combinations and permutations. All problems should be completed showing all steps for each. Follow the directions as given at the top of each problem set.

Compound Probability

Compound probability means find the probability of a compound event which is an event made up of more than one event. Examples of this would be flipping a coin several times, rolling dice more than one time, flipping a coin and rolling a dice, and thing of that nature.

When determining probability of these type events, you need to determine if the events are independent or dependent. In other words does one depend on the other or not. This would be like rolling a dice and flipping a coin. The result of flipping the coin will have no impact on the result of rolling the dice. Conversely, selecting a student randomly, taking them out of the group and then selecting a second student is a dependent event. If it changes the sample space, it is dependent.