Question: Show that the permutation [ n , n 1, . . . , 2, 1] has n ( n 1)/2 inversions.

Show that the permutation [n, n1, . . . , 2, 1] has n(n1)/2 inversions.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!

Q:

(2) (i) Show Vn E Z+; n = kd; (1 2; n then p | nAP vii (2) (i) Show Yn Z+; n = kl; (1 S k 2; n IP then 3p P 3 p n A p V'7i

Q:

n a sequence S = [ S , S 2 , . . . , Sn ] of n integers, an inversion is a pair of elements s , and s , where i s . For example, in the sequence S = 2 , 1 , 5 , 3 , 4 the pairs ( 2 , 1 ) , ( 5 , 3 )...

Q:

Let [1. . ] be an array of distinct numbers (i.e., no two numbers are equal). If [], then the pair ([], []) is called an inversion of . [5a]. List all inversions of the array {4, 2, 9, 1,...

Q:

stack permutation of the numbers 0, 1, ..., n-1 is a permutation obtained as the sequence of numbers output by a stack after the original numbers have been processed left-to-right through a stack...

Q:

Please help on these 3 problems. Thank you. 1. A permutation matrix P is a matrix such that there is exactly one 1 in every row and every colum and all other entries are zeros. Show that every...

Q:

Feistel encoding Consider the encryption system below: Consider the following permutation F of {1, 2, 3}: F(1) = 2, F(2) = 3 and F(3) = 1. This permutation suggests the following encoding of a...

Q:

Hi, Can you please help me with these maths questions by showing me the answer with steps and a small explanation, I only need help with questions 14 to 18 I have completed the others: Question 2 De...

Q:

Hi, Can you please help me with these maths questions by showing me the answer with steps and a small explanation, I only need help with question 8 onwards I have completed the others: Question 2 De...

Q:

please help me answer this one, thank you! Lesson 2 Length of Confidence and Appropriate Sample Size What's In A. Fill in the blank with the correct word or group of words to make a meaningful...

Q:

Independent Samples t Tests I. Let's say we have two groups of Jamba Juice employees: Group 1 = Trained in-person for 8 hours (in-person training) Group 2 = Trained by reading an employee manual...

Q:

Find rational numbers a, b and c such that (1 + 3)= = a+b + ((1352)

Q:

In Problem 8, what are the magnitudes of (a) The horizontal component and (b) The vertical component of the net force acting on the block at point Q? (c) At what height h should the block be released...

Q:

What is the appropriate tax trratment for the followog exenditure of thebvick family in 2 0 2 4

Q:

8. Complete the following in Python. Consider the probability that less than 11 out of 151 students will not graduate on time. Assume the probability that a given student will not graduate on time is...