Problem 1ED: A List alphabetically by the first letter, all 3letter license plate codes consisting of 3 different... Problem 1MP: Find A6!B10!9!C10!7!D5!0!3!E20!3!17! Problem 2MP: Given the set A,B,C,D, how many permutations are possible for this set of 4 objects taken 2 at a... Problem 3MP: Find the number of permutations of 30 objects taken 4 at a time. Compute the answer using a... Problem 4MP: From a committee of 12 people, (A) In how many ways can be choose a chairperson, a vice-chairperson,... Problem 5MP: Find the number of combinations of 30 objects taken 4 at a time. Compute the answer using a... Problem 6MP: How many 5-card hands have 3 hearts and 2 spades? Problem 7MP: Repeat Example 7 under the same conditions, except that the serial numbers will now have 3 letters... Problem 8MP: Given the information in Example 8, answer the following questions: A How many 4-officer committees... Problem 9MP: From a standard 52-card deck, how many 5-card hands have all cards from the same suit? Problem 1E: In Problems 1-6, evaluate the given expression without using a calculator. (If necessary, review... Problem 2E: In Problems 1-6, evaluate the given expression without using a calculator. (If necessary, review... Problem 3E: In Problems 1-6, evaluate the given expression without using a calculator. (If necessary, review... Problem 4E: In Problems 1-6, evaluate the given expression without using a calculator. (If necessary, review... Problem 5E: In Problems 1-6, evaluate the given expression without using a calculator. (If necessary, review... Problem 6E: In Problems 1-6, evaluate the given expression without using a calculator. (If necessary, review... Problem 7E: In Problems 7-26, evaluate the expression. If the answer is not an integer, round to four decimal... Problem 8E: In Problems 7-26, evaluate the expression. If the answer is not an integer, round to four decimal... Problem 9E Problem 10E: In Problems 7-26, evaluate the expression. If the answer is not an integer, round to four decimal... Problem 11E: In Problems 7-26, evaluate the expression. If the answer is not an integer, round to four decimal... Problem 12E: In Problems 7-26, evaluate the expression. If the answer is not an integer, round to four decimal... Problem 13E: In Problems 7-26, evaluate the expression. If the answer is not an integer, round to four decimal... Problem 14E: In Problems 7-26, evaluate the expression. If the answer is not an integer, round to four decimal... Problem 15E: In Problems 7-26, evaluate the expression. If the answer is not an integer, round to four decimal... Problem 16E: In Problems 7-26, evaluate the expression. If the answer is not an integer, round to four decimal... Problem 17E: In Problems 7-26, evaluate the expression. If the answer is not an integer, round to four decimal... Problem 18E: In Problems 7-26, evaluate the expression. If the answer is not an integer, round to four decimal... Problem 19E: In Problems 7-26, evaluate the expression. If the answer is not an integer, round to four decimal... Problem 20E: In Problems 7-26, evaluate the expression. If the answer is not an integer, round to four decimal... Problem 21E: In Problems 7-26, evaluate the expression. If the answer is not an integer, round to four decimal... Problem 22E: In Problems 7-26, evaluate the expression. If the answer is not an integer, round to four decimal... Problem 23E: In Problems 7-26, evaluate the expression. If the answer is not an integer, round to four decimal... Problem 24E: In Problems 7-26, evaluate the expression. If the answer is not an integer, round to four decimal... Problem 25E: In Problems 7-26, evaluate the expression. If the answer is not an integer, round to four decimal... Problem 26E: In Problems 7-26, evaluate the expression. If the answer is not an integer, round to four decimal... Problem 27E: In Problems 27-30, simplify each expression assuming that n is an integer and n2. n!n2! Problem 28E: In Problems 27-30, simplify each expression assuming that n is an integer and n2. n+1!3!n2! Problem 29E: In Problems 27-30, simplify each expression assuming that n is an integer and n2. n+1!2!n1! Problem 30E: In Problems 27-30, simplify each expression assuming that n is an integer and n2. n+3!n+1! Problem 31E: In Problems 31-36, would you consider the selection to be a permutation, a combination, or neither?... Problem 32E: In Problems 31-36, would you consider the selection to be a permutation, a combination, or neither?... Problem 33E: In Problems 31-36, would you consider the selection to be a permutation, a combination, or neither?... Problem 34E: In Problems 31-36, would you consider the selection to be a permutation, a combination, or neither?... Problem 35E: In Problems 31-36, would you consider the selection to be a permutation, a combination, or neither?... Problem 36E: In Problems 31-36, would you consider the selection to be a permutation, a combination, or neither?... Problem 37E: In a horse race, how many different finishes among the first 3 places are possible if 10 horses are... Problem 38E: In a long-distance foot race, how many different finishes among the first 5 places are possible if... Problem 39E: How many ways can a 3 -person subcommittee be selected from a committee of 7 people? How many ways... Problem 40E: Nine cards are numbered with digits from 1 to 9. A 3 -card hand is dealt, 1 card at a time. How many... Problem 41E: From a standard 52 -card deck, how many 6 -card hands consist entirely of red cards? Problem 42E: From a standard 52 -card deck, how many 6 -card hands consist entirely of clubs? Problem 43E: From a standard 52 -card deck, how many 5 -card hands consist entirely of face cards? Problem 44E: From a standard 52 -card deck, how many 5 -card hands consist entirely of queens? Problem 45E: From a standard 52 -card deck, how many 7 -card hands consist entirely of four kings? Problem 46E: From a standard 52 -card deck, how many 7 -card hands consist 3 hearts and 4 diamonds? Problem 47E: From a standard 52 -card deck, how many 4 -card hands contain a card from each suit? Problem 48E: From a standard 52 -card deck, how many 4 -card hands contain a card from same suit? Problem 49E: From a standard 52 -card deck, how many 5 -card hands contain 3 cards of one rank and 2 cards of a... Problem 50E: From a standard 52 -card deck, how many 5 -card hands contain 5 different ranks of cards? Problem 51E: A catering service offers 8 appetizers, 10 main courses, and 7 desserts. A banquet committee selects... Problem 52E: Three departments have 12,15,and18 members respectively. If each department selects a delegate and... Problem 53E Problem 54E Problem 55E: In Problems 55-60, discuss the validity of each statement. If the statement is true, explain why. If... Problem 56E: In Problems 55-60, discuss the validity of each statement. If the statement is true, explain why. If... Problem 57E: In Problems 55-60, discuss the validity of each statement. If the statement is true, explain why. If... Problem 58E: In Problems 55-60, discuss the validity of each statement. If the statement is true, explain why. If... Problem 59E: In Problems 55-60, discuss the validity of each statement. If the statement is true, explain why. If... Problem 60E: In Problems 55-60, discuss the validity of each statement. If the statement is true, explain why. If... Problem 61E: Eight distinct points are selected on the circumference of a circle. A How many line segments can be... Problem 62E: Five distinct points are selected on the circumference of a circle. A How many line segments can be... Problem 63E: In how many ways can 4 people sit in arrow of 6 chairs? Problem 64E: In how many ways can 3 people sit in arrow of 7 chairs? Problem 65E: A basketball team has 5 distinct positions. Out of 8 players, how many starting teams are possible... Problem 66E: How many 4-person committees are possible from a group of 9 people if A There are no restrictions? B... Problem 67E: Let U be the set of all 2 -card hands, let K be the set of all 2 -card hands that contain exactly 1... Problem 68E: Let U be the set of all 2 -card hands, let K be the set of all 2 -card hands that contain exactly 1... Problem 69E Problem 70E: Note from the table in the graphing calculator display below that the largest value of nCr when n=21... Problem 71E: Quality Control. An office supply store receives a shipment of 24 high speed printers, including 5... Problem 72E: Quality Control. An electronics store receives a shipment of 30 graphing calculators, including 6... Problem 73E: Business closings. A jewelry store chain with 8 stores in Georgia, 12 in Florida, and 10 in Alabama... Problem 74E: Employee layoffs. A real estate company with 14 employees in its central office, 8 in its north... Problem 75E: Personal selection. Suppose that 6 female and 5 male applicants have been successfully screened for... Problem 76E: A 4 -person grievance committee is selected out of 2 departments AandB, with 15and20 people,... Problem 77E: Medicine. There are 8 standard classifications of blood type. An examination for prospective... Problem 78E: Medical research. Because of limited funds, 5 research centers are chosen out of 8 suitable ones for... Problem 79E: Politics. A nominating convention will select a president and vice-president from among 4... Problem 80E: Politics. In how many different ways can 6 candidates for an office be listed on a ballot? format_list_bulleted