Question: A permutation is a function from {1, 2, . . . , n} to {1, 2, . . . , n}. A fixed point x

A permutation is a function from {1, 2, . . . , n} to {1, 2, . . . , n}. A fixed point x of a permutation is a value such that (x) = x. We pick a permutation uniformly at random among all permutations, what is the expected number of fixed points?

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 Mathematics Questions!

There are N firms in a market each with cost function, I = 1, 2, ..., N . There is a fixed cost of entry denoted by E . The inverse demand function is p = 10 - Q , where Q= q1 + q2+ q3 + .... qn A....

Let s : {1,2,...,n} {1,2,...,n} be a function of sets that is invertible. Such a map determines a linear transformation S : Rn Rn given by S(ei) = es(i), and we call such linear maps S permutations....

FORTRAN!!!! Permutations of n elements can be systematically generated using an integer n-element array, initialized to [1, 2, ,n, and systematically rearranging elements of this array. For example...

Submitted to Management Science manuscript MS-0001-1922.65 Authors are encouraged to submit new papers to INFORMS journals by means of a style file template, which includes the journal title....

below are my questions..its compl,ete question11 1. Ann is ambiguity-averse and has constant absolute risk aversion a. There is a stock that pays y per unit where y ~ N (u, s') where u e [u, p] is...

1 2.3 Definition of a Discrete Probability Function Definition: Let S be a discrete sample space from some experiment. A function P, defined on all events in S, is said to be a probability function...

Random Permutations Please see exercise 2.8 on page 72 of the textbook. The problem presents three different algorithms for populating an array of size N with a random permutation of the values from...

Discrete Math/Comp Sci... answer with clear explanation please. thanks in advance! A permutation of length n is a rearrangement of the numbers {1, 2, ....., n}. A permutation is called a mountain...

A team of researchers recently developed a new method to capture CO2 from air using an electrochemical membrane separation method. This method relies in the movement of HCO3 ions across a membrane...

The Harter-Heighway Dragon Curve is a particularly interesting curve drawn in the x-y plane using an iterative generation approach. In this assignment, you will write a Python program that will draw...

Decide if each is a subspace of the vector space of real-valued functions of one real variable. (a) The even functions {f : R R | f(-x) = f(x) for all x}. For example, two members of this set are...

Solve the differential equation: xydy-y dx= (x+y)?e-y/x. Attach File Browse My Computer Browse Content

According to Brian McHale s article, 8 Benefits of Building an Effective Project Team, effective teams turn _ _ _ _ _ _ _ _ _ _ _ _ into _ _ _ _ _ _ _ _ _ _ _ _ _ . Question 2 options: a )...

Each of the following situations has an internal control weakness: a. Soft Wizzard Applications sells accounting software. Recently, development of a new program stopped while the programmers...

On May 1, 2012, Bovar Company began the manufacture of a new paging machine known as Dandy. The company installed a standard costing system to account for manufacturing costs. The standard costs for...

Powerglide Company, organized in 2011, has set up a single account for all intangible assets . The following summary discloses the debit entries that have been recorded during 2012....

Theory of constraints, contribution margin , sensitivity analysis. Low Tech Toys (LTT) produces dolls in two processes: molding and assembly. LTT is currently producing two models: Chatty Chelsey and...

Gross Profit Method Sliver Lumber Company handles three principal lines of merchandise with these varying rates of gross profit on cost. Lumber.......................25%...

Create a 200 word summary on the Juvenile Justice System than and today. Describe The Juvenile system and provide a generalizable definition. Highlight the issues in the Juvenile system and why this...

How does a cost center differ from a profit center?

In some companies, advertising is a variable expense for a given year, while in other companies, advertising is considered a fixed expense for a given year. Explain why this is possible.

How often should comparison of actual results with the flexible budget be made? Why?