Problem 1E: An experiment requires a choice among three initial setups. The first setup can result in two... Problem 2E Problem 3E: An experiment requires a sequence of three steps. The first step can result in two possible... Problem 4E Problem 5E Problem 6E Problem 7E Problem 8E Problem 9E Problem 10E Problem 11E Problem 12E Problem 13E: How many different four-letter sequences can be formed from the letters a, a, a, b? [HINT: See... Problem 14E: How many different five-letter sequences can be formed from the letters a, a, a, b, c? [HINT: See... Problem 15E: Ice Cream When Baskin-Robbins was founded in 1945, it made 31 different flavors of ice cream.12 If... Problem 16E: Ice Cream At the beginning of 2002, Baskin-Robbins claimed to have nearly 1,000 different ice cream... Problem 17E: Binary Codes A binary digit, or bit, is either 0 or 1. A nybble is a four-bit sequence. How many... Problem 18E: Ternary Codes A ternary digit is either 0, 1, or 2. How many sequences of six ternary digits are... Problem 19E: Ternary Codes A ternary digit is either 0, 1, or 2. How many sequences of six ternary digits are... Problem 20E: Binary Codes A binary digit, or bit, is either 0 or 1. A nybble is a four-bit sequence. How many... Problem 21E: Reward While selecting candy for students in his class, Professor Murphy must choose between gummy... Problem 22E: Productivity Professor Oger must choose between an extra writing assignment and an extra reading... Problem 23E Problem 24E: Radar Detectors Radar detectors are either powered by their own battery or plug into the cigarette... Problem 25E: Multiple-Choice Tests Professor Easys final examination has 10 true-false questions followed by 2... Problem 26E: Multiple-Choice Tests Professor Toughs final examination has 20 true-false questions followed by 3... Problem 27E: Tests A test requires that you answer either Part A or Part B. Part A consists of 8 true-false... Problem 28E: Tests A test requires that you answer first Part A and then either Part B or Part C. Part A consists... Problem 29E: Stock Portfolios Your broker has suggested that you diversify your investments by splitting your... Problem 30E: Menus The local diner offers a meal combination consisting of an appetizer, a soup, a main course,... Problem 31E Problem 32E: Computer Codes Some written languages, such as Chinese and Japanese, use tens of thousands of... Problem 33E Problem 34E Problem 35E: Variables in Visual Basic A variable name in the programming language Visual Basic must begin with a... Problem 36E Problem 37E: Tournaments How many ways are there of filling in the blanks for the following (fictitious) soccer... Problem 38E: Tournaments How many ways are there of filling in the blanks for a (fictitious) soccer tournament... Problem 39E: Telephone Numbers Suppose a telephone number consists of a sequence of seven digits not starting... Problem 40E: Social Security Numbers A Social Security Number is a sequence of nine digits. a. How many Social... Problem 41E: Credit Card Numbers The vast majority of Visa and Discover Card credit cards have 16-digit card... Problem 42E: Credit Card Numbers Credit cards issued by American Express have 15-digit card numbers. The first... Problem 43E Problem 44E Problem 45E: HTML Colors in HTML (the language in which many web pages are written) can be represented by... Problem 46E: Telephone Numbers In the past, a local telephone number in the United States consisted of a sequence... Problem 47E Problem 48E Problem 49E Problem 50E: License Plates17 License plates in Montana have a sequence consisting of (1) a digit from 1 to 9,... Problem 51E Problem 52E Problem 53E Problem 54E: Car Engines Repeat Exercise 53 for an eight-cylinder V8 engine. Problem 55E: Minimalist Art You are exhibiting your collection of minimalist paintings. Art critics have raved... Problem 56E Problem 57E: Product Design Your company has patented an electronic digital padlock that a user can program with... Problem 58E: Product Design Your company has patented an electronic digital padlock that has a telephone-style... Problem 59E: Calendars The World Almanac19 features a perpetual calendar, a collection of 14 possible calendars.... Problem 60E: Calendars How many possible calendars are there that have February 12 falling on a Sunday, Monday,... Problem 61E Problem 62E: Programming in Java Script (Some programming knowledge is assumed for this exercise.) How many... Problem 63E Problem 64E Problem 65E: Morse Code In Morse code, each letter of the alphabet is encoded by a different sequence of dots and... Problem 66E: Numbers How many odd numbers between 10 and 99 have distinct digits? Problem 67E Problem 68E Problem 69E Problem 70E Problem 71E Problem 72E: Find an interesting application that requires a decision algorithm with two steps in which each step... format_list_bulleted