Example 7: Permutations of n items taken r at a time Evaluate each expression (a) P(7,3) (b) P(15,5)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Key Concept: Permutations of n items taken r at a time
P(n,r) represent the number of permutations of n items r at a time. Write down the formula from
the video in the space provided below.
Example 7: Permutations of n items taken r at a time
Evaluate each expression
(a) P(7,3)
(b) P(15,5)
Example 8: Arranging students into presentation groups
If a class has 28 students, how many different arrangements can five students give a presentation
to the class?
Key Concept: Permutations with duplicates
The number of different permutations of n objects where there are n, duplicates, n₂ duplicates,
..., and n duplicates is: (write down the formula from the video in the space provided below)
Example 9: Rearranging the letters in words]
In how many ways can the letters of the word MATHEMATICS be arranged?
65
Transcribed Image Text:Key Concept: Permutations of n items taken r at a time P(n,r) represent the number of permutations of n items r at a time. Write down the formula from the video in the space provided below. Example 7: Permutations of n items taken r at a time Evaluate each expression (a) P(7,3) (b) P(15,5) Example 8: Arranging students into presentation groups If a class has 28 students, how many different arrangements can five students give a presentation to the class? Key Concept: Permutations with duplicates The number of different permutations of n objects where there are n, duplicates, n₂ duplicates, ..., and n duplicates is: (write down the formula from the video in the space provided below) Example 9: Rearranging the letters in words] In how many ways can the letters of the word MATHEMATICS be arranged? 65
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