HOMEWORK 2Name:Guidelines:Solutions must be written out completely. You must clearly expressing yourideas in complete sentences using words and symbols, rather than just getting theright answer." Homework will be graded accordingly.Homework must be neat, well organized and stapled (if multiple sheets).You are encouraged to collaborate with classmates on homework outside ofclasstime. However, it is expected that the work you turn in is your individual work.If you are working with others on the problems, please write up your individualsolutions on your own. Please acknowledge any other students you worked withon developing solutions to these problems by writing something like, I workedwith Mary Poppins and Winnie the Pooh" at the end of your paper or by speci cproblems.Please include this rst page as a cover sheet on your homework.Only a select number of problems will be graded.HOMEWORK 2(1) Section 2.1 Mindscapes (pg. 50-52): 10, 12 (justify your answer fully!), 14,15, 26(2) It is the middle of winter. A centipede has a gigantic drawer lled withmany socks and gets up before sunrise each morning to don these socks.The centipedersquo;s two most favorite colors in the world are yellow and brown(since this particular centipede is quite fond of bananas).(a) Naturally, the centipede owns only yellow and brown socks, but sinceit is dark outside and the centipede doesnrsquo;t like to fold laundry, thissleepy insect has to make a best guess for each sock pulled out of thedrawer to try and nd a matching set. How many socks must thecentipede pull from the drawer to guarantee a matching set for eachof its 100 cold feet?(b) One day, this centipede goes all out and obtains a huge pile of yellow-with-brown-polka-dots socks. Now there are three types of socks inthe drawer: yellow, brown, and polka-dotted. In this case, how manysocks must the centipede pull from the drawer to guarantee a matchingset for each of its 100 feet?(3) Say that you pick 5 cards at random from a deck of 52 cards.(a) Can you guarantee that at least two of the cards will be of the samesuit? Why or why not?(b) Is it possible to determine which suit this will be? Why or why not?(4) Suppose that 13 people are locked inside a cold, damp room by a giant evilmedieval cockroach. The cockroach, laughing maniacally, tells the peoplethat the only way she will release them is if they can prove to her thatat least two of them have birthdays on the same month. Since she doesnot trust these humans, she is unsatis ed simply being told each of theirmonths of birth. Provide a proof that among these 13 people, there are atleast two people with the same months of birth.(5) Write the number 76 in binary. (Hint: Find the highest power of 2 thatgoes into 76).(6) Find the decimal equivalent of the binary number 1000011101.本团队核心人员组成主要包括BAT一线工程师，精通德英语！我们主要业务范围是代做编程大作业、课程设计等等。我们的方向领域：window编程 数值算法 AI人工智能 金融统计 计量分析 大数据 网络编程 WEB编程 通讯编程 游戏编程多媒体linux 外挂编程 程序API图像处理 嵌入式/单片机 数据库编程 控制台 进程与线程 网络安全 汇编语言 硬件编程 软件设计 工程标准规等。其中代写编程、代写程序、代写留学生程序作业语言或工具包括但不限于以下范围:C/C++/C#代写Java代写IT代写Python代写辅导编程作业Matlab代写Haskell代写Processing代写Linux环境搭建Rust代写Data Structure Assginment 数据结构代写MIPS代写Machine Learning 作业 代写Oracle/SQL/PostgreSQL/Pig 数据库代写/代做/辅导Web开发、网站开发、网站作业ASP.NET网站开发Finance Insurace Statistics统计、回归、迭代Prolog代写Computer Computational method代做因为专业，所以值得信赖。如有需要，请加QQ：99515681 或邮箱：99515681@qq.com 微信：codehelp QQ：99515681 或邮箱：99515681@qq.com 微信：codehelp
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