Hughes STEM
Calculations
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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! / (103)! = 10! / 7! = 720
3.) 12! / (123) ! = 12! / 9! = 1320 different ways horses can finish
3!/1320 = 0.0045
4.) 40!/(405)!*5! = 40! / 35!*5! = 658008
1/658008= 0.00000152
Distinguishable
Permutations
Permutations
Third Graduating Class!
I <3 Statistics!!
Ms Stanton
Is the best math teacher ever!
Study for your exam!!!
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! / (nr)! , 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! / (nr)! 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 threedigit 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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Permutations
Statistics permutations
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