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permutaion

nPr=n!/(n-r)!

combination

a selection of items in which order is not important

N!/(N-K)!

Permutation Formula

N!/K!(N-K)!

Combination Formula

NpK

N Pick K

NcK

N Choose K

Permutation

possible outcomes when position is important; ie 24 people run a race, how many outcomes are their for 1sr, 2nd, and 3rd place

26*26*26*26

Repeating Combinatorics (Arrange letters into 4 spaces. You can repeat )

6!

720

5!

120

4!

24

3!

6

2!

2

2, Permutations and Combinations

Combinatorics has _ subdivisions: _ & _

In Permutations:

Order Matters

In Combinations:

Order DOESN'T Matter

What is a Sample Space?

Is a set of Unique Outcomes

n factorial

n! = n(n-1) * ...* 3 * 2 * 1

1, by definition

0! is equal to the quantity:

Permutation formula:

nPr = (n)!/(n-r)! - # of ways to permute (r) items from (n).

Combination formula:

nCr = (n)!/(n!(n-r)!) - # of ways to choose (r) items from (n)

In a Complex Combination Problem:

Hypergeometric Distribution is where N is known, and data is divided into groups.

In a Permutation Combination Problem:

There are 2 Methods; Hangman Slots and Permutation calculations (nPr)

What is a Discrete Probability Distribution?

Contains a Random Variable: a function that maps a value into a Probability

What is a Proper Probability Distribution?

Each p(x) probability function is between 0 and 1, and the Sum of p(x) is equal to 1.0 or 100%

De Morgan's Law Approach #2

Formula used (from previous set)