Section 2.3: Counting Techniques

1. State the General Principle of Counting, and use the General Principle of Counting to determine the number of outcomes from a described procedure.
2. Compute the number of permutations of size \(k\) from a set of \(n\) distinct objects given a description of a process that results in such permutations.
3. Compute the number of combinations of size \(k\) from a set of \(n\) distinct objects given a description of a process that results in such combinations.

Section 2.5: Independence

1. State the rough intuition behind independence of two events.
2. State the four equivalent conditions needed for two events to be independent.
3. Use independence, in addition to the previous probability rules (addition rule, multiplication rule, complementation rule, etc.), to find the probability of a compound event.
4. Distinguish between independent and mutually exclusive events.
5. State the conditions that must be met for a collection of \(n\) events to be mutually independent.