There is a set of 14 jobs in the printer queue. Two of the jobs in the queue are called job A and job B. How many different ways are there for the jobs to be ordered in the queue so that job A is first or job B is last or both? O 13!-12! O 2-13! O 2-13!-12! 13!

Q: 2. Eight persons are to be assigned to two different rooms. Let A one room must have 3 persons. B…

A: Probability can be found by using combinations.

Q: A class has 28 students. In how many different way can four student form a group for an…

A: GivenTotal no.of students in a class(n)=28No.of students form a group for an activity(k)=4

Q: A manager wants to award prizes for 1", 2nd and 3rd to his team members according to number of new…

A: We have given that the team is formed of 25 members and the prizes be awarded.    Permutation…

Q: Suppose a class of 5 boys and 6 girls are to attend a theatrical performance, and the teacher…

A:

Q: In a class, there are 6 boys and 5 girls. How many ways can we form a committee / group / team of 6…

A: The number of boys and girls in the class are 6 and 5 respectively. The committee must be formed…

Q: A group of 10 friends go out for dinner at a fancy dining room andthey each leave their hat with an…

A: A group of 10 friends go out for dinner. 5 of the friends were  wearing fedorasand and the other 5…

Q: There is a set of 10 jobs in the printer queue. Two of the jobs in the queue are called job A and…

A: Total number of jobs in a printer queue is 10.

Q: In how many ways a 4 - person sales team can be formed from a group of 12 salesmen and 8 seals women…

A: Solution: From the given information, there are 12 salesman and 8 sales women. Total number of…

Q: In a class, there are 5 boys and 4 girls. How many ways can we form a committee / group / team of 3…

A: The number of boys and girls in the class are 5 and 4 respectively. The committee must have 3…

Q: How many different 5-letter radio station call letters can be made a. d the first letter must be C,…

A: a. Total possible ways to fill the first letter=3(C,W or Q) Since first position is already filled…

Q: A certain train has 7 cars that are being lined up on a track. One of the cars is the engine, and…

A: We have to find no. Of ways to arrange.

Q: In how many ways can a party of 6 people be seated on a row of 6 seats if a certain 2 refuse to sit…

A: Given :A party of 6 people be seated on a row of 6 seats if a certain 2 refuse to sit next to each…

Q: In how many ways can 5 boys and 5 girls be seated in row of 10 chairs a. without restriction b. if…

A: Given problem Given that   Total number of students = 5 boys + 5 girls = 10 a) Number of ways to…

Q: In one class 18  students play basketball, 14 students play soccer and 10 students play volleyball.…

A: You can solve this question using the Venn diagram.

Q: 100 people went to the amusement park.  51 went on roller-coasters, 29 went to the haunted house and…

A: Introduction: Suppose A, B, and C are three events, and n (A), n (B), and n (C) are the respective…

Q: How many different 7-letter words can be made a. if the first letter must be B or X and no letter…

A: Let m choices to be made with n1 options for the 1st choice, n2 options for the 2nd choice, … , nm…

Q: (a) In a certain country, the car number plate is formed by 4 digits from the digits 1, 2, 3, 4, 5,…

A: (a) The car number is formed by 4 digits from the digits 1,2,3,4,5,6,7,8 and 9 followed by 3 letters…

Q: How many different 7-letter words can be made a. if the first letter must be B or X and no letter…

A:

Q: 4 students go to a theatre and they buy tickets from a row with seats numbered from 1 to 16 but no…

A: To find number of ways were seated numbered from 1 to 16 but no two of them will have adjacent seat.

Q: A company sells regular hamburgers as well as a larger burger. Either type can include cheese,…

A: We have to find no. Of ways to arrange.

Q: How many strings of Seven English letters are there A) That contains no vowels, if letters can be…

A:

Q: 3. There are 5 doors in a Lecture Hall. In how many ways a student can enter the room through one…

A: Total number of doors in the lecture hall=5

Q: A club consist of three men and seven women. in how many way can this club elect a president, vice…

A:

Q: Suppose that Ten service customers need service call and the maintenance worker can only service…

A: Based on the information, the dispatcher cares who serviced first, second and third. In this…

Q: A manager wants to award prizes for 1", 2nd and 3rd to his team members according to number of new…

A:

Q: 3. How many different ways are there to choose 6 items from 10 distinct items if... a. .the order of…

A:

Q: 1. The favorite colors of Ann, Lita, Alvin, and Johnny are red, blue, green, and orange, but not…

A: Note: According to Bartleby guidelines; for more than one question asked only the first one is to be…

Q: Your car seats 5 people, including the driver. You have 8 friends who all need you to drive them…

A:

Q: How many different 5​-letter radio station call letters can be made a.  if the first letter must be…

A: Let m choices to be made with n1 options for the 1st choice, n2 options for the 2nd choice, … , nm…

Q: A box contains 45 stalks of flowers of which 12 are sunflowers, 15 roses and the rest are marigolds.…

A: Given that a box contains 45 stalks of flowers of which 12 are sunflowers, 15 roses and the rest are…

Q: In how many ways can a hostess select six luncheon guests from 10 women if she is to avoid having a…

A: Combination and permutations

Q: 4. Six people attend the theater together and sit in a row with exactly six seats. a. How many ways…

A:

Q: 16 members is to choose three officers:

A: Given that  A club with 16 members  (n) = 16 we have to choose three officers: President, vice…

Q: Of 20 possible​ books, you plan to take 3 with you on vacation. How many different collections of 3…

A:

Q: A box contains 47 stalks of flowers of which 20 are tulips, 15 roses and the rest are marigolds. How…

A: Given that a box contains 47 stalks of flowers of which 20 are tulips, 15 roses and the rest are…

Q: A restaurant offers a special pizza with any 5 toppings. If the restaurant has 10 topping from which…

A: this is a combination problemtotal number of topping=10number of topping can be chosen=5so number of…

Q: Suppose there are 5 men and 8 women qualified to be members of a new committee of 6 people,…

A: a) Since each position is distinct, so for this problem order matters. There are total (5+8)=13…

Q: How many strings of five uppercase English letters are there (a) that start or end with the letters…

A: a) Given that starts and ends with letter BO i.e if started with BO then next 3 Letters can be…

Q: suppose that five service customers need service call and the maintenance worker can only service…

A:

Q: A camp counselor and eight campers are to be seated along a picnic bench. In how many ways can this…

A: We have find couponselor and eight campers data..

Q: There is a set of 10 jobs in the printer queue. Two of the jobs in the queue are called job A and…

A: Solution: Options (b) is correct

Q: A certain train has seven cars that are being lined up on a track. One of the cars is the engine and…

A: Recall: Number of ways  = n! = n(n-1)(n-2)...3.2.1

Q: A television director has to schedule commercials during 6 time slots allocated to commercials…

A: Answer: Using the given data,

Q: Four cards labeled A, B, C, and D are randomly placed in four boxes labeled A, B, C, and D. A card…

A: Given Information- We have given 4 cards labeled A, B, C and D are placed in 4 boxes labeled A, B, C…

Q: There are 7 different roads between town A and town B, 4 different roads between town B and town C,…

A: There are 7 different roads between A and C, 4 different roads between B and C and 2 different roads…

Q: Suppose there are 6 girls and 6 boys in a class. In how many ways can you arrange these children in…

A: Permutations and combinations

Q: A computer programming section has 11 members. A team of 5 is to be chosen to work on a special…

A: (a) 5 members can be chosen from 11 members in C511 ways. C511=11!5!×6!=462

Q: In how many ways can 8 people be seated in a row if there are no restrictions on the seating…

A: As per our guidelines, we are allowed to answer three sub-parts only.   1.there are no restrictions…

Q: 4. Thirteen people on a softball team show up for a game a) how many ways are there to choose 10…

A: (a) Out of 13 people we need to choose 10 players. Since the order does not matter, therefore it can…

Q: A group of 3 people is selected out of a larger group of 20 people. 1 (a) How many possible ways can…

A: Solution: 4. From the given information, 3 people selected from 20 people.