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For n > 1, in how many out of the n! permutations 7 = (7(1), 7(2),., "(n)) of the numb {1, 2, ..., n} the value of #(i) is either i – 1, or i, or i +1 for all 1 < i< n? Example: The permutation (21354) follows the rules while the permutation (21534) d not because 7(3) = 5. Hint: Find the answer for small n by checking all the permutations and then find recursive formula depending on the possible values for T(n).

For n > 1, in how many out of the n! permutations 7 = (7(1), 7(2),., "(n)) of the numb {1, 2, ..., n} the value of #(i) is either i – 1, or i, or i +1 for all 1 < i< n? Example: The permutation (21354) follows the rules while the permutation (21534) d not because 7(3) = 5. Hint: Find the answer for small n by checking all the permutations and then find recursive formula depending on the possible values for T(n).

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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7. For n 2 1, in how many out of the n! permutations T = (T(1), 7(2),..., 7 (n)) of the numbers {1, 2, ..., n} the value of 7(i) is either i – 1, or i, or i +1 for all 1 < i < n? Example: The permutation (21354) follows the rules while the permutation (21534) does not because 7(3) = 5. Hint: Find the answer for small n by checking all the permutations and then find the recursive formula depending on the possible values for 1(n).
Transcribed Image Text:7. For n 2 1, in how many out of the n! permutations T = (T(1), 7(2),..., 7 (n)) of the numbers {1, 2, ..., n} the value of 7(i) is either i – 1, or i, or i +1 for all 1 < i < n? Example: The permutation (21354) follows the rules while the permutation (21534) does not because 7(3) = 5. Hint: Find the answer for small n by checking all the permutations and then find the recursive formula depending on the possible values for 1(n).
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