Exercise 2.2. How many three letter passwords are possible, using the 26 letters in the English alphabet if: (i) Repeats are not allowed and order matters? (ii) Repeats are not allowed and order does not matter? (iii) Repeats are allowed and order matters? (iv) Repeats are allowed and order does not matter?

Q: (a) In a certain state, license plates have two letters followed by four digits. How many such…

A: a) There are 26 letters (A-Z) and 10 digits (0-9) Numbers and letters can repeat. We can pick 2…

Q: Telephone area codes are three-digit numbers of the form XXX. Originally, the first and third…

A:

Q: At a certain company, passwords must be from 4-6 symbols long and composed from the 26 uppercase…

A: Let us consider there n number of objects, and r to be chosen such that repetition is allowed; then,…

Q: 2. 100 college students were surveyed, and it was found out that all of them have visited at least…

A: Venn diagram are used to visualize the group of observations. In venn diagram, we can indicate only…

Q: Q/22 A college planning committee consist of 3 freshmen, 4 sophomores, 5 juniors, and 2 seniors.…

A:

Q: (a) In a certain state, license plates have two letters followed by three digits. How many such…

A:

Q: A college debate team is participating in a tournament in state A. They will fly from state B to…

A: The number of flights form B to C - 2 C to D - 7 D to A - 3 The possible number of ways from B to…

Q: How many five-letter passwords can be formed from the letters {A, B, J, K, X, Z} under the following…

A: From the provided information, The letters are {A, B, J, K, X, Z} Total letters = 6

Q: Suppose we want to choose 3 objects, without replacement, from the 4 objects pencil, eraser, desk,…

A: Suppose we want to choose 3 objects, without replacement, from the 4 objects pencil, eraser, desk,…

Q: (b) Every student in a discrete math class is either a computer science or a mathematics major or is…

A: The union of events A and B is defined as n(A ∪ B) = n(A)  + n(B) – n(A ∩ B).

Q: 5. a) How many ways can 6 people be lined up to get on a bus? b) If a certain 3 persons insist on…

A:

Q: A television programmer is arranging the order that three movies will be seen between the hours of 6…

A: There are several powerful methods for counting objects and sets of objects without actually having…

Q: 1. (i) (2 points) How many ways can one arrange the letters of the word DECEMBER? (ii) (3 points)…

A: As per the company rule, we are supposed to do only one problem. Kindly repost the remaining…

Q: Question content area bottom Part 1 ​a) How many distinct telephone numbers are​ possible?   enter…

A:

Q: a) What if the person violates all 7 rules? b) What if the person never drinks alcohol and always…

A: Here use combination

Q: 2. 100 college students were surveyed, and it was found out that all of them have visited at least…

A:

Q: Describe the possible inputs of S(n) using words.

A: The possible inputs for S are the numbers on a dice

Q: Q10(Book). A certain brand of shoes comes in 5 different styles, with each style available in 4…

A: Here from the given information there are 5 different styles and 4 distinct colour.

Q: Internal telephone numbers in a university are composed of 5 digits. The first two digits can form…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: A group of 13 workers decides to send a delegation of 3 to their supervisor to discuss their…

A:

Q: 6.6 Worksheet Exercise 6.6.1: Selecting students for jobs. (a) A teacher selects 4 students from her…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: 2.100 college students were surveyed, and it was found out that all of them have visited at least…

A: Let's solve.

Q: 6. A question paper has two parts P and Q, each containing 10 questions. If a student needs to…

A:

Q: 5. a) How many ways can 6 people be lined up to get on a bus?  b) If a certain 3 persons insist on…

A: Given numbers of people. 6 people

Q: A survey of 500 foreign exchange students has determined that: 72 read French 40 read German 41 read…

A:

Q: A survey asks 172 people "What beverage do you drink in the morning?", and offers choices: • Coffee…

A:

Q: The table below gives the number of non-stop flights from city to city. City 1 City 2 City 3 City 4…

A: If we want to fly form City 1 to City 4 with one stop available, then we can follow the following…

Q: 2) A school district assigns each of their students a password that consists of three unique letters…

A: Solution

Q: 3. How many possible ways to assign a room for each of the 5 students, suppose we have 8 rooms…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: 1) How many sitting orders are possible? 2) How many sitting orders are possible under the condition…

A: Here we use combination rules.

Q: Exercise 2.1. A smart phone lock screen has a 4 digit pin which uses the digits 0 through 9. Order…

A:

Q: a) How many ways are there to do this?

A: nCr=n!r!(n-r)!

Q: Professor Bartlett teaches a class of10 students. She has a visually challenged​ student, Louise,…

A:

Q: a) Felicia is deciding on her schedule for next semester. She must take each of the following…

A: a) There are no conflicts between the classes which means any class from one group can be scheduled…

Q: In a certain​ country, a telephone number consists of eight digits with the restriction that the…

A:

Q: To fulfill certain requirements for a degree, a student must take one course each from the following…

A:

Q: (a) In a certain​ state, license plates have two letters followed by three digits. How many such…

A:

Q: c) There are three train tracks from village X to village Y and four train tracks from village Y to…

A:

Q: a. How many different ways can these bands be arranged to perform? b. If band 3 is performing first…

A: It is widely used in statistics . It is a fact of combinatorics .

Q: The table below gives the number of non-stop flights from city to city. City 1 City 2 City 3 City 4…

A: total number of ways

Q: A group of college students were asked about their TV watching habits. Of those surveyed, 28…

A: Given 28 students watch The Walking Dead, 19 watch The Blacklist, 24 watch Game of Thrones.…

Q: 4. (a) In a group of 8 people, some of them shake hands. Is it possible that everyone shaked hands…

A:

Q: Which one of the following is a method of obtaining answers to the questions in the form which is…

A: We need to find most appropriate answer for given question.

Q: company’s CEO has 8 people reporting directly to her, and she wants to select 2 to attend the grand…

A:

Q: Major League Baseball teams maintain a 25- man roster and also a 40- man roster. Players on the 25-…

A: Provided information is, major League Baseball teams maintain a 25- man roster and also a 40- man…

Q: 1. Suppose in a university, each subject offered to students has a subject code consisting of three…

A:

Q: . a) How many ways can 6 people be lined up to get on a bus? o) If a certain 3 persons insist on…

A:

Q: 2. A combination lock has 4 wheels, each labeled with the 10 digits from 0 to 9. (a) How many 4…

A:

Q: 2. a) How many ways can a psychology student select 5 subjects from a pool of 20 subjects and assign…

A:

Q: Color list 1 Red 2 Yellow 3 White 4 Black 5 Orange. Each floor of the 4-storey building will be…

A: There are 5 colors and 4 layers.   We can paint the first layer in 5 ways.  When the first layer is…