Problem 1ED: Let A,B,andC be three sets. Use a Venn diagram (Fig. 3) to explain the following equation:... Problem 1MP: The survey in Example 1 also indicated that 345 firms offer their employees group life insurances,... Problem 2MP: Students at a university have the option to stream TV shoes over the internet or to watch cable TV.... Problem 3MP: A company offers its employees health plans from three different companies: R,S,andT. Each company... Problem 4MP: Each question on a multiple-choice test has 5 choices. If there are 5 such questions on a test, how... Problem 5MP: How many 4 -letter code words are possible using the first 10 letters of the alphabet under the... Problem 1E: In Problems 1-6, Solve for x. (If necessary, review Section 1.1). 50=34+29x Problem 2E: In Problems 1-6, Solve for x. (If necessary, review Section 1.1). 124=73+87x Problem 3E: In Problems 1-6, Solve for x. (If necessary, review Section 1.1). 4x=23+42x Problem 4E: In Problems 1-6, Solve for x. (If necessary, review Section 1.1). 7x=51+45x Problem 5E: In Problems 1-6, Solve for x. (If necessary, review Section 1.1). 3x+11=65+x14 Problem 6E: In Problems 1-6, Solve for x. (If necessary, review Section 1.1). 12x+5=x+12229 Problem 7E Problem 8E Problem 9E Problem 10E Problem 11E: An entertainment guide recommends 6 restaurants and 3 plays that appeal to a couple. A If the couple... Problem 12E: A college offers 2 introductory courses in history, 3 in science, 2 in mathematics, 2 in philosophy,... Problem 13E: How many 3 -letter words can be formed from the letters A,B,C,D,E if no letter is replaced? If... Problem 14E: How many 4 -letter code words can be formed from the letters A,B,C,D,E,F,G if no letter is repeated?... Problem 15E: A country park system rates its 20 golf courses in increasing order of difficulty as bronze, silver,... Problem 16E: The 14 colleges of interest to a high school senior include 6 that are expensive (tuition more than... Problem 17E Problem 18E Problem 19E Problem 20E Problem 21E: In Problems 17-24, use the given information to determine the number of elements in each of the four... Problem 22E: In Problems 17-24, use the given information to determine the number of elements in each of the four... Problem 23E: In Problems 17-24, use the given information to determine the number of elements in each of the four... Problem 24E: In Problems 17-24, use the given information to determine the number of elements in each of the four... Problem 25E: In Problems 25-32, use the given information to complete the following table,... Problem 26E: In Problems 25-32, use the given information to complete the following table,... Problem 27E: In Problems 25-32, use the given information to complete the following table,... Problem 28E: In Problems 25-32, use the given information to complete the following table,... Problem 29E: In Problems 25-32, use the given information to complete the following table,... Problem 30E: In Problems 25-32, use the given information to complete the following table,... Problem 31E: In Problems 25-32, use the given information to complete the following table,... Problem 32E: In Problems 25-32, use the given information to complete the following table,... Problem 33E: In Problems 33 and 34, discuss the validity of each statement. If the statement is always true,... Problem 34E: In Problems 33 and 34, discuss the validity of each statement. If the statement is always true,... Problem 35E: A particular new car model is available with 5 choices of color, 3 choices of transmission, 4 types... Problem 36E: A delicatessen serves meat and sandwich with the following options: 3 kinds of bread, 5 kinds of... Problem 37E: Using the English alphabet, how many 5 -character case sensitive passwords are possible? Problem 38E: Using the English alphabet, how many 5 -character case sensitive passwords are possible if each... Problem 39E: A combination lock has 5 wheels, each labeled with the 10 digits from 0to9. How many opening... Problem 40E: A combination lock has 3 wheels, each labeled with the 10 digits from 0to9. How many 3 -digit... Problem 41E: How many different license plates are possible if each contains 3 letters (out of the alpabet’s 26... Problem 42E: How many 5 digit ZIP code numbers are possible? How many of these numbers contain no repeated... Problem 43E Problem 44E Problem 45E: Problems 45-48 refer to the following Venn diagram. Which of the numbers x,y,z,orw must equal to 0... Problem 46E: Problems 45-48 refer to the following Venn diagram. Which of the numbers x,y,z,orw must equal to 0... Problem 47E: Problems 45-48 refer to the following Venn diagram. Which of the numbers x,y,z,orw must equal to 0... Problem 48E: Problems 45-48 refer to the following Venn diagram. Which of the numbers x,y,z,orw must equal to 0... Problem 49E: A group of 75 people includes 32 who play tennis, 37 who play golf, and 8 who play both tennis and... Problem 50E: A class of 30 music student includes 13 who play the piano, 16 who play the guitar, and 5 who play... Problem 51E: A group of 100 people touring Europe includes 42 people who speak French, 55 who speak German, and... Problem 52E: A high school football team with 40 players includes 16 players who were played offense last year,... Problem 53E Problem 54E: Management. A corporation plans to fill 2 positions for vice-president, V1 and V2, from... Problem 55E: Transportation, A sales representative who lives in city A wishes to start from home and visit 3... Problem 56E: Transportation. A sales representative who lives in city A wishes to start from home and visit 4... Problem 57E: Market research. A survey of 1,200 people indicates that 850 own HDTVs, 740 own DVD players, and 580... Problem 58E: Market research. A survey of 800 small businesses indicates that 250 own a video conferencing... Problem 59E: Communications. A cable television company has 8,000 subscribers in a suburban community. The... Problem 60E: Communications. A cable company offers its 10,000 two special services: high speed internet and... Problem 61E: Minimum wage. The table gives the number of male and female workers earning at or below the minimum... Problem 62E: Minimum wage. Refer to table in Problem 61. A How many females are of age 16-19 and earn below... Problem 63E: Medicine. A medical researcher classifies subjects according to male or female; smoker or nonsmoker;... Problem 64E: Family Planning. A couple is planning to have 3 children. How my boy-girl combinations are possible?... Problem 65E: Politics. A politician running for a third term is planning to contact all contributors to her first... Problem 66E: Politics. If 12,457 people voted for a politician in his first election, 15,322 voted for him in his... format_list_bulleted