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Counting Principle, Permutation & CombinationPowerPoint Presentation

Counting Principle, Permutation & Combination

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### Counting Principle, Permutation & Combination

Dwayne Strachan

Edtech 597

Multiple Principle Lesson

Weeks 15-16

How many different costumes can I make?

- I have three clown shirts
- I have two clown pants
- I have four clown shoes

The Counting Principle notation

The number of outcomes of an event is the product of the number of outcomes in each stage of the event.

m = the number of outcomes in the first stage

n = the number of outcomes in the second stage

The Counting Principle

- Let’s say you were out for dinner and had a choice of three appetizers, five entrees and 4 desserts.
- How many different dinners could you create.
- Go to the next page for the solution.

Permutation

- I have six pictures I want to hang on the wall
- How many different permutations can I arrange them in?

The Permutation Notation

n = the number of items that can be used

r = the number of items that will be used

Permutation

- What do you think you would do if all pictures were not included in the arrangement?
- Find the number of three picture arrangements that can be made from the six original pictures.
- Go to the next page for the solution.

Sue

Pat

Ben

Gus

Sue & Ben

Sue & Gus

Sue & Pat

Pat & Ben

Pat & Gus

Pat & Sue

Ben & Sue

Ben & Pat

Ben & Gus

Gus & Sue

Gus & Pat

Gus & Ben

The Combination Notation

n = the number of items that can be used

r = the number of items that will be used

Combinations

- How many different three letter nonsense words can be made from the word MATH?
- Go to the next page for the answer.

Combination

= 10 words

Counting Principle, Permutation and Combination

- The counting principle will find the number of outcomes in an event.
- A permutation is a unique arrangement of elements selected from a group of elements.
- A combination is a group of objects selected from a group of elements without consideration of order.

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