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Permutations and Combinations
Presentation
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Easy
+2
Standards-aligned
Carrie Thornthwaite
Used 82+ times
FREE Resource
8 Slides • 4 Questions
1
Permutations and Combinations
2
A Permutation refers to a list of numbers in a definite order
3
Note the way to solve these permutations...
4
Multiple Choice
What is the solution?
5040
289
210
35
5
The Permutation formula can be used to solve many word problems. For example:
A team of 15 basketball players need to choose a Captain & a Co-captain. How many ways can that selection be made?
Using the equation nPk what would be the value of n?
... and what would be the value of k?
Give your answer for the number of ways on the next slide.
6
Multiple Choice
A team of 15 basketball players need to choose a Captain & a Co-captain. How many ways can that selection be made?
5140
280
210
35
7
Combination refers to a list of numbers where the order doesn't matter at all.
8
So here's an example for one of the ways to solve a Combination problem...
9
Notice that the formula is exactly the same as for Permutation, except there's an extra k! in the denominator.
10
Combinations can also be used to solve word problems. For example...
Ted and Julia are planning trips to six countries this year. There are 10 countries they would like to visit. They are deciding which countries to skip.
Solve this problems and select you answer from the choices on the next slide.
11
Multiple Choice
Ted and Julia are planning trips to six countries this year. There are 10 countries they would like to visit. They are deciding which countries to skip.
5140
280
210
35
12
Poll
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Permutations and Combinations
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