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# Permutations

Statistics- permutations
by

## Tiffany Stanton

on 30 November 2015

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#### Transcript of Permutations

Hughes STEM
Calculations
2016
2012
2013
2014
2015
0
+
-
=
9
8
7
1
2
3
4
5
6
c
Vocabulary
permutation: is an ordered arrangement of objects. The number of different permutations
of n distinct objects is n!.
Solutions
1.) 9! = 362,880
2.) 10! / (10-3)! = 10! / 7! = 720
3.) 12! / (12-3) ! = 12! / 9! = 1320 different ways horses can finish
3!/1320 = 0.0045
4.) 40!/(40-5)!*5! = 40! / 35!*5! = 658008
1/658008= 0.00000152
Distinguishable
Permutations
Permutations
I <3 Statistics!!
Ms Stanton
Is the best math teacher ever!

Combinations
A horse race has 12 entries. Assuming that there are no ties, what is the probability that the three horses owned by one person finish first, second, and third?
Permutations & Combinations
number of permutations of n distinct objects taken r at a time is nPr = n! / (n-r)! , where r ≤ n.
Distinguishable permutations: n! / n1! ∑ n2! ∑ n3! … nk! , where n1 + n2 + n3 + … + nk = n
Combination: is a selection of r objects from a group of n objects without regard to order and is denoted by nCr.
nCr = n! / (n-r)! r!
The objective of a 9x9 Sudoku number puzzle is to fill the grid so that each row, each column, and each 3x3 grid contain the digits 1 to 9. How many different ways can the first row of a blank 9x9 Sudoku grid be filled?
Find the number of ways of forming three-digit codes in which no digit is repeated.
In how many distinguishable ways can the letters in the word "statistics" be written?
In order to conduct an experiment, 4 subjects are randomly selected from a group of 20 subjects. How many different groups of four subjects are possible?
In a state lottery, you must select 5 numbers (in any order) out of 40 correctly to win the top prize. How many ways can 5 numbers be chosen from 40 numbers? You purchase one lottery ticket; what is the probability you will win the top prize?
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Full transcript