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Level 377

Permutation & Combination


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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)