Essays on Permutation

Introduction

Play LOTTO Research Lotto game rules (https://www.national-lottery.co.uk/), then design and implement a Matlab programme to generate several sets of Lotto numbers according to the amount of money specified. The relevant information about the Lotto game rules taken from the National Lottery website are enumerated in the following bullet points:

Tickets cost £2 per play

Simply select six numbers from 1-59 or pick Lucky Dip for a random selection Choose how many lines to play The Matlab programme will operate the same way as the Lucky Dip feature of the website. The Matlab programme will randomly generate sets of six numbers from 1-59 that are ...

MODULE 1

2. Displays Histograms are used to show distributions of variables while bar charts are used to compare variables. Histograms plot quantitative data with ranges of the data grouped into bins or intervals while bar charts plot categorical data.

Whereas an example of a bar graph data would show what percentage of people with a certain hair type have a certain eye color. 3. Linear regression We are comparing the birth rate and the life expectancy in third world countries such as Somalia, Tanzania, Zambia, adding a few developed countries in the end such as France and the Netherlands. It can ...

Abstract

The effort that the has been put in the field of complex computation has been brought a lot of changes. The issue of proving or disapproving whether a set of binomially verifiable problems is equal to a set of bounded problems. The paper gives a detailed overview of the myth surrounding the quantum complexity and the implication that has brought to the world of quantum physics. To better understand the concept, it is crucial to introduce a Turing machine which is based on the quantum mechanical concept. In addition, the relationship between quantum oracle and Turing machine is exploded. The paper will also give ...

Card counting is usually a casino card game and strategy that is mostly used in black jack casino games (Simonson, 2011, pp.77). The card counting strategy is mainly used to determine whether the hand that follows in the play is most likely to give an advantage probably to the player or to the dealer. The card counters are considered to form a class of players who are exceptional. They usually make attempts of decreasing the inherent casino house’s edge by tactically keeping a running tally of the low and high value cards that are seen by the players. Card counting gives ...

This paper is about the sexual selection. It shows how sexual selection has an enormous effect on the evolutionary changes with different characteristics selected for and against (Brewster and Houde 2003, p. 1057). The common result of this phenomenon is the directional selection. This is where phenotypes indicate high fitness level resulting to an increased number of offspring in this phenotype (Brooks and Endler 2001, p. 1007). By increasing the rate of directional selection and opportunity for the sexual selection methods, the ability of survival and the average fitness will increase. The processes involve dauer processes. Dauer entry is ...

The objective of the analysis herein is to provide a framework for the execution of the Levi’s Personal Pairs joint venture business proposal. The opportunity as stipulated pertains to a potential business relationship between Levi Strauss, the expansive and dominant clothing manufacturer and retailer, and a company called Custom Clothing Technology Company. The proposal outlines a business arrangement wherein Levi’s would work with CCTC to create a customized purchasing ability within Levi’s retail stores. The purpose of such a niched expansion to the company’s current offerings lies in the reality of an increasingly competitive market environment for Levi’s trademark mainstay, ...

Fundamentals of Cryptography

1) Jason sends a message to Kristin using public key encryption.

a) What key will Jason use to encrypt the message?

b) What key will Kristin use to decrypt the message?

c) What key will Kristin use to encrypt the reply?

What key will Jason use to decrypt the reply? Asymmetric Encryption his Private Key

2) What characteristics would make an encryption absolutely unbreakable? What characteristics would make an encryption impractical to break?

Classic encryption utilize ciphers to code plaintext into ciphertext using a secret coding and decoding process. The effectiveness of this process varies depending on the type and number of ...

Travelling salesman problem is a grouped as a NP-hard problem. The problem involves identifying the shortest route that a sales man would follow to visit several cities. The travelling salesman problem model several problems of real life applications. There are approximations algorithms developed to solve the problem. However, an exact feasible solution to the general Travelling salesman problem has not been developed; although, the problem has been under research for more than half a decade. Small traveling salesman problems have been solved using exact algorithms developed through various methods, such as genetic algorithms. It has been proved that the TSP cannot be ...