Question: (1) How many permutations S7 are such that 4 = id? (2) How many permutations Sn contain 1,2, and 3 in the same cycle? (3)

(1) How many permutations S7 are such that 4 = id? (2) How many permutations Sn contain 1,2, and 3 in the same cycle? (3) We select a permutation in Sn at random. What is the probability that n is in a cycle of length k.

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!

Can you help me in my assignment, i really couldn't get it. The topic and examples is in the pictures Solving Problems Involving Permutation and Combination In the previous lesson, you learned to...

Question 8 0 / 1 point Given the code snippet below, what methods does an object of the Rectangle class have? class GeometricShape : def __init__(self, x, y) : self._x = x self._y = y self._fill =...

C++ Programming Task: Task 2 Part A Put the ten numbers 0, 1, 2, , 9 into an array or a vector in random order, i.e, a random permutation of these numbers, for instance, 4, 2, 0, 9, 6, 5, 7, 1, 3, 8,...

Consider the triangleArea function from the textbook shown below: 1. def triangleArea(sideLength) : 2. if sideLength

1. How many permutations of the letters of the word HEAVEN are there if the vowels are to be written together? a)72 b)144 c)120 d)720 2. Ina certain group of 50 students at Hogwarts School of...

Our experiment consists of tossing a fair coin three times and observing a sequence (of length 3) of heads and tails. (1) List all possible outcomes comprising the sample space for this experiment: S...

Problem 4. In a state lottery, four digits are drawn at random one at a time with replacement from 0 to 9. Suppose that you win if any permutation of your selected integers is drawn. Give the...

Take Test: PW 10 (Sec 6.3, 6.4) * Test Information Description Instructions Multiple Attempts This test allows 3 attempts. This is attempt number 1 Force Completion This test can be saved and resumed...

It might look blurry, but if you zoom in you will be able to understand. Take Test: PW 10 (Sec 6.3, 6.4) * Test Information Description Instructions Multiple Attempts This test allows 3 attempts....

UNIT 5 QZ, Q-20 UNIT 5 / UNIT 8 QUESTIONS KEEP ANSWERS SEPARATE BY UNITS UNIT II STUDY GUIDE Consumer Mathematics Reading Assignment See information below. Key Terms 1. Add-on interest method 2....

Consider the following model: Yt = B1 + B2Xt + B3Xt - 1 + B4Xt - 2 + B3Xt - 3 + ut where Y = the consumption X = the income t = the time This model states that consumption expenditure at time Ms a...

Evaluate Sf xyz dv when Gr is the solid in the 1st octant that is bounded by parabolic cylinder, 2 = 3-x and the planes 20, yx and yeo.

1 . Secondary Market and How to Invest in the Stock MarketQuestion:Define the secondary market and describe its functioning. Create a step - by - step guide for a first - time investor on how to...

please answer only if you know programming language is c++ For this lab, your objective is to define the functions below. Define the void function SwapNodes () that takes three generic type Node...