Morse Codes The International Morse code is a way of transmitting coded text by using sequences of on/off tones. Each character is 1 or 2 or 3 or 4 or 5 segments long, and each segment is either a dot or a dash. For example, the letter G is transmitted as two dashes followed by a dot, as in ——•. How many different characters are possible with this scheme? Are there enough characters for the alphabet and numbers?

Q: CIRCULAR PERMUTATION a. _Find the number of different ways can a family of six be seated in a round…

A: Given that  Circular arrangements  We know that  The number of permutations of n distinct persons…

Q: horse race, eight horses are running. Assume you have purchased a Trifecta ticket. (In Trifecta, the…

A: Here we want to Know possibilities of a Trifecta exist?

Q: 1.You pass through five traffic signals on your way to work. Each is either red, yellow, or green. A…

A: Note: The number of options for traffic signal after red is only 1, i.e., yellow. The number of…

Q: A child makes a deal with his parents on how he will earn his allowance. He proposes that he earn…

A:

Q: a reataurant patron is making a salad. his salad consist of just lettuce, or he can add any of the…

A: a reataurant patron is making a salad. his salad consist of just lettuce, or he can add any of the…

Q: Counting technique: A set of eight switches can each be set at Off, Low, Medium or High. In how many…

A: Given a set of eight switches can each be set at Off, Low, Medium or High.

Q: A certain identification number is a sequence of five digits. (a) How many identification numbers…

A:

Q: 82. Choosing a Pizza A pizza parlor offers four sizes of pizza (small, medium, large, and colossus),…

A: A pizza parlor offers four sizes of pizza(small, medium, large, and colossus), two types of…

Q: How many different pizza’s can somebody order if he orders a pizza with either 2 or 3 toppings.…

A: It is given that there are 25 different toppings to choose from. n=25

Q: 20 applicants from a pool of 90 applications will be hired. How many ways are there to select the…

A: There are total 90 applications and we have to select 20 applicants.   So we have to find the number…

Q: 6. Shrimp are often found in tropical climates and can be raised on farms or caught in the wild.…

A: Given information: Different types of shrimp = 2(Farm-raised and wild-caught) Country of origin =…

Q: 4 -letter "words" are formed using the letters A, B, C, D, E, F, G. How many such words are possible…

A: 4-letter words are to be formed form the letters A, B, C, D, E, F, G. We have in all 7 letters. Part…

Q: A TV director is scheduling a certain sponsor’s commercials for an upcoming broadcast . There are…

A: Given: 6 different commercials , each to be shown once

Q: how many passwords are there if you do not allow repeating digits? b.) How many passwords are there…

A: Since , the passwords are made by using 4 digits from 1-9. Total numbers=9 Password length=4 Our aim…

Q: 4 -letter "words" are formed using the letters A, B, C, D, E, F, G. How many such words are possible…

A: (e) Given, 4 letter words are formed using the letters A,B,C,D,E,F,G. Given that second letter must…

Q: Question games: 4 adventure games, 4 arcade games, 2 puzzle games, and How many ways can the games…

A: The fundamental counting principle says that if n ways are there to complete one thing, and m ways…

Q: Birthday Problem In how many ways can 2 people eachhave different birthdays? Assume that there are…

A: Given; There are 2 people having different birthdays. To Find: In how many ways can 2 people each…

Q: Forming Codes How many different three-letter codes arethere if only the letters A, B, C, D, and E…

A: Number of three letter codes using A,B,C,D,E

Q: 1. A student found 8 Mathematics books in the library. The library rules permit him to check out…

A:

Q: 7. During the New Year celebration there are orange, purple, blue, and green fireworks. In how many…

A: Given Fireworks Colors = Orange , Purple, Blue and Green

Q: Stock Portfolios As a financial planner, you are asked toselect one stock each from the following…

A: First make the possible combinations.

Q: Ten different people walk into a delicatessen to buy a Four always order tuna fish, two always order…

A: a)The number of different sequences of sandwiches possible is obtained below: From the information,…

Q: A chain letter starts when a person sends a letter to 4 others. Each person who receives the letter…

A: From the specified information, it is interpreted that each person who received the letter sent 4…

Q: Ordering a pizza with thick crust or thin crust with à choice of ham, bacon, sausage, or mushrooms…

A: (As per bartleby guidelines, for questions containing multiple subparts, only first three subparts…

Q: Permutations  (a) In how many ways can you arrange the letters from the word CAVITE if taken 4 at a…

A: Given the word, CAVITE

Q: A soccer team plays eight games in one month. Each game results in a win, loss, or tie. For this…

A:

Q: 4 -letter words'' are formed using the letters A, B, C, D, E, F, G. How many such words are possible…

A: The given set of letters are A, B, C, D, E, F, G. Thus, we are given 7 different letters. (a) The…

Q: 22 math teachers attend a presentation on Group Study Skills. During the presentation the presenter…

A: Solution:

Q: 9. An ice cream parlor offers 10 flavors of ice cream. The "mega" cone that has 3 different scoops…

A:

Q: involving the research project. Assume that 12 students, including james are working on the project…

A: 1) The first section can be assigned in 12 ways  The second section in 11 ways, third in 10 ways,…

Q: Which of these is an example of an overdraft? Having $322.14 in your checking account and writing a…

A:

Q: License plate numbers in a certain state consists of seven characters. The first character is a…

A: Using the fundamental counting principle, it can be written that if there is a sequence of…

Q: In how many ways Jane, Liza, Karen, Lea, Jamie, Andrea, Nicole, and Jazz can be seated in a round…

A: Given : Question for permutation. We have to analyze and solve the questions.

Q: 32. License Plates A state has registered 8 million automobiles. To simplify the license plate…

A: Given: A state has registered 8 million automobiles. To find: the number of license plates that can…

Q: In how many ways can 1 senator and 3 legislative members be chosen from a group of 20 people. (Lets…

A: Selection is a part of combinatorics where we take only one arrangements out of the different…

Q: 10. Ten days before Valentine's Day, Jim plans to send his first love gifts. On the first day, he…

A:

Q: 5 -letter words" are formed using the letters A, B, C, D, E, F, G. How many such words are pos (a)…

A: Given: 5-letters words are formed using the letter A, B,C,D,E,F,G

Q: 49. Car rental patterns A car rental agency in a major city has a total of 2200 cars that it rents…

A: Let x be the number of cars rented from Metropolis Airport, y be the number of cars rented from…

Q: alow.P many ways can they sit in a row if the boys and girls are each to sit together? (c) In how…

A: It is given that, 6 flags are hanged in a vertical line in which 4 are red and 2 are blue.

Q: In a state's Pick 3 lottery game, you pay $1.48 to select a sequence of three digits (from 0 to 9),…

A: Given that: One lottery ticket costs $1.48. 3-digit number in a lottery ticket ranges from 000 to…

Q: Suppose in a university, each subject offered to students has a subject code consisting of four…

A:

Q: Number of ways you can wear 10 outfits to school each day in a 5 day w

A: Given data, Number of outfits n=10 Number of days is r=5   Here we have 2 Possibilities. i) Without…

Q: In a state's Pick 3 lottery game, you pay $1.28 to select a sequence of three digits (from 0 to 9),…

A:

Q: 4 -letter "words" are formed using the letters A, B, C, D, E, F, G. How many such words are possible…

A: Since you have posted multiple sub-parts, we will solve the first three sub-parts for you. To get…

Q: Using the digits 2, 3, 6, 8, and 9, how many 3-digit whole numbers can be formed if repetitions are…

A: a)GivenNo.of digits is (2,3,6,8,9)=5

Q: 87. Seating Arrangements In how many ways can four men and four women be seated in a row of eight…

A: Four men and 4 women supposed to arrange in a row. That there are total 8 persons supposed to…

Q: UESTION 12 Suppose there were 500 nurses graduating this year. Assume that 400 were registered…

A:

Q: 78. Choosing a Group Sixteen boys and nine girls go on a camping trip. In how many ways can a group…

A: Given: Total number of boys 16. Total number of girls 9. (a) Number of ways if there are 2 girls…

Q: How many four-letter sequences are possible that use the letters q, u, a, k, e, s at most once each?

A: Use permutation and combination

Q: How many different ways can a photographer at a wedding arrange six people in a row from a group of…

A: Note: In part c, the number of bridesmaids and groomsmen is not given, so we cannot answer it.…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.