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Question 2 This question is about strings formed from the exactly letters F, A, K, T, A, R, U, T, A. (a) How many different strings can you form using exactly those 9 letters, in any order? (Examples: FAKTARUTA, TUKTAFARA...) (b) How many different strings can you form using exactly those 9 letters, where the two letters T do not appear adjacent to each other? (Example: KARTATUFA, but not FUAKRATTA.) (c) How many different strings can you form using exactly those 9 letters, where no two letters A appear adjacent to each other? (Example: KATTAFRAU but not TRAAKFUTA or KRUTFAAAT.) (d (*)) How many different strings can you form using exactly those 9 letters, where no two equal letters appear adjacent to each other? (Example: FAKTARUTA, but not FUAKRATTA or KRUTFAAAT or even UKFAAARTT.) (This question is not obligatory! But you may answer it if you wish!) Compute all your answers in two different ways: (1) Write a program that enumerates all possibilities, and (2) Show how the answer can

Question 2 This question is about strings formed from the exactly letters F, A, K, T, A, R, U, T, A. (a) How many different strings can you form using exactly those 9 letters, in any order? (Examples: FAKTARUTA, TUKTAFARA...) (b) How many different strings can you form using exactly those 9 letters, where the two letters T do not appear adjacent to each other? (Example: KARTATUFA, but not FUAKRATTA.) (c) How many different strings can you form using exactly those 9 letters, where no two letters A appear adjacent to each other? (Example: KATTAFRAU but not TRAAKFUTA or KRUTFAAAT.) (d (*)) How many different strings can you form using exactly those 9 letters, where no two equal letters appear adjacent to each other? (Example: FAKTARUTA, but not FUAKRATTA or KRUTFAAAT or even UKFAAARTT.) (This question is not obligatory! But you may answer it if you wish!) Compute all your answers in two different ways: (1) Write a program that enumerates all possibilities, and (2) Show how the answer can

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 36SE: The number of 5-element subsets from a set containing n elements is equal to the number of 6-element...
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Comviq K N80% 08:13 Uppgiftsdetaljer DIT984 H22 Diskret matematik för Datavet... Question 2 This question is about strings formed from the exactly letters F, A, K, T, A, R, U, T, A. (a) How many different strings can you form using exactly those 9 letters, in any order? (Examples: FAKTARUTA, TUKTAFARA...) (b) How many different strings can you form using exactly those 9 letters, where the two letters T do not appear adjacent to each other? (Example: KARTATUFA, but not FUAKRATTA.) (c) How many different strings can you form using exactly those 9 letters, where no two letters A appear adjacent to each other? (Example: KATTAFRAU but not TRAAKFUTA or KRUTFAAAT.) (d (*)) How many different strings can you form using exactly those 9 letters, where no two equal letters appear adjacent to each other? (Example: FAKTARUTA, but not FUAKRATTA or KRUTFAAAT or even JKFAAARTT.) (This question is not obligatory! But you may answer it if you wish!) Compute all your answers in two different ways: (1) Write a program that enumerates all possibilities, and (2) Show how the answer can Skicka in uppgift
Transcribed Image Text:Comviq K N80% 08:13 Uppgiftsdetaljer DIT984 H22 Diskret matematik för Datavet... Question 2 This question is about strings formed from the exactly letters F, A, K, T, A, R, U, T, A. (a) How many different strings can you form using exactly those 9 letters, in any order? (Examples: FAKTARUTA, TUKTAFARA...) (b) How many different strings can you form using exactly those 9 letters, where the two letters T do not appear adjacent to each other? (Example: KARTATUFA, but not FUAKRATTA.) (c) How many different strings can you form using exactly those 9 letters, where no two letters A appear adjacent to each other? (Example: KATTAFRAU but not TRAAKFUTA or KRUTFAAAT.) (d (*)) How many different strings can you form using exactly those 9 letters, where no two equal letters appear adjacent to each other? (Example: FAKTARUTA, but not FUAKRATTA or KRUTFAAAT or even JKFAAARTT.) (This question is not obligatory! But you may answer it if you wish!) Compute all your answers in two different ways: (1) Write a program that enumerates all possibilities, and (2) Show how the answer can Skicka in uppgift
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