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in how many ways can four students be seated in a row of four seats?

in how many ways can four students be seated in a row of four seats?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Permutations and Combinatorics** **Question 1:** How many five-letter permutations can be formed from the first seven letters? - User Input: 720 - Result: Incorrect (indicated by a red 'X') **Optional Section:** - Show My Work (Expandable option) **Additional Information:** - Details: TANFIN12 6.4.033 **Question 2:** In how many ways can four students be seated in a row of four seats? - User Input: (Blank) This section involves calculating permutations, a fundamental concept in combinatorics. For the first question, five-letter permutations from seven options involve using the formula for permutations, which is calculated as \( \frac{n!}{(n-r)!} \), where \( n \) is the total number of items to choose from, and \( r \) is the number of items to be arranged. For the second question, seating four students in four seats follows a factorial calculation of 4! (4 factorial).
Transcribed Image Text:**Permutations and Combinatorics** **Question 1:** How many five-letter permutations can be formed from the first seven letters? - User Input: 720 - Result: Incorrect (indicated by a red 'X') **Optional Section:** - Show My Work (Expandable option) **Additional Information:** - Details: TANFIN12 6.4.033 **Question 2:** In how many ways can four students be seated in a row of four seats? - User Input: (Blank) This section involves calculating permutations, a fundamental concept in combinatorics. For the first question, five-letter permutations from seven options involve using the formula for permutations, which is calculated as \( \frac{n!}{(n-r)!} \), where \( n \) is the total number of items to choose from, and \( r \) is the number of items to be arranged. For the second question, seating four students in four seats follows a factorial calculation of 4! (4 factorial).
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