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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?

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?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Example 8
Key Concept: Permutations of n items taken r at a time P(n,r) represent the number of permutations 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) P7,3)=17-11-7x6x5x4x3x2x1 (7-3)! 41 4x3x2x1 (b) P(15,5) = 15! 5040 - 210 24 151 15XNX13X12X11X10X9X 8X7X6x5x4x3x2x1 (15-5)! 10! lox 9x8x7x6x5x4x3x2x1 360 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 n₁ 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?
Transcribed Image Text:Key Concept: Permutations of n items taken r at a time P(n,r) represent the number of permutations 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) P7,3)=17-11-7x6x5x4x3x2x1 (7-3)! 41 4x3x2x1 (b) P(15,5) = 15! 5040 - 210 24 151 15XNX13X12X11X10X9X 8X7X6x5x4x3x2x1 (15-5)! 10! lox 9x8x7x6x5x4x3x2x1 360 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 n₁ 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?
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