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Terms in this set (17)
What is a statement?
Something that is either true or false but not both simultaneously
What are non-examples of statements?
Commands, questions, and opinions
Why are commands, questions, and opinions not examples of statements?
They are not true or false
What is a negation?
the opposite of the original statement
What would be the negation of the statement "Today is Monday"?
Today is not Monday.
How do you write an inverse statement?
If not A, then not B
What is an example of an inverse statement?
If Angela does not live in Atlanta, then she does not live in Georgia.
How do you write a converse statement?
If B, then A
What is an example of a converse statement?
If Angela lives in GA, then she lives in Atlanta.
How do you write a contrapositive statement?
If not B, then not A
What is an example of a contrapositive statement?
If Angela does not live in Georgia, then she does not live in Atlanta.
What is the definition of the fundamental counting principle?
If you can choose one item from a group of M items and a second item from a group of N items, then the total number of two-item choices is MxN.
What is an example of the fundamental counting principle?
Choosing from one of 6 appetizers and one of 14 main courses, the total number of two-course meal options is 6x14=84.
When is permutation used?
When no item is used more than once
The order of arrangement makes a difference
What is an example of a permutation?
You need to arrange seven of your favorite books along a small shelf. How many different ways can you arrange the books? 7x6x5x4x3x2x1=5040
When does a combination occur?
The items are selected from the same group
No item is used more than once
The order of items makes no difference
What is the difference between a combination and a permutation?
In a combination, order does not matter. In a permutation, order DOES matter.
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