Principles of Counting

# Principles of Counting - x objects selected from a single...

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Principles of Counting Multiplication Formula If there are m ways of doing one thing and n ways of doing another thing, there are mxn ways of doing both Total number of arrangements = (m)(n)

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Principles of Counting How many different arrangements of shapes and letters can I create? C D
Principles of Counting C C C D D D Total number of arrangements = (3)(2)=6 (3 shapes)(2 letters) Note: there are 2 groupings from which you made selections

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The Permutation Formula Suppose that 3 electronic parts are to be assembled into a plug-in unit for a TV set. They can be assembled in any order. In how many different ways can the 3 parts be assembled? 3 parts are labelled as A, B, C ABC BAC CAB ACB BCA CBA Permutation – any arrangement of

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Unformatted text preview: x objects selected from a single group of n possible The Permutation Formula The Permutation Formula The Combination Formula The Combination Formula Examples to test your knowledge • A representative of the Environmental Protection Agency (EPA) wants to select samples from 10 landfills. The director has 15 landfills from which she can collect samples. How many different samples are possible? • A national pollster has developed 15 questions designed to rate the performance of the president of the United States. The pollster will select 10 of these questions. How many different arrangements are there for the order of the 10 selected questions?...
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