With a short time remaining in the day, a delivery driver has time to make deliveries to 6 different locations among the 7 locations remaining. How many different routes are possible?

Q: the number of production defects is  29  and that  16  of these are classified as major defects,  12…

A: Number of production defects = 29Number of major defects = 16Number of design defects = 12Number of…

Q: How many pathways are there from A to B assuming you can only travel South and East? A

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: A professor gives his students 4 essay questions to prepare for an exam. Only 2 of the questions…

A:

Q: A car dealership offers 10 different upgrades with each of the vehicles it sells. If a customer can…

A: Given data; A car dealership offers 10 different upgrades with each of the vehicles it sells.  To…

Q: A company has three supervisors and seven regular employees. Two supervisors are sworn enemies and…

A: This is the question from circular permutation. it is the total number of ways in which  n distinct…

Q: A group of 5 students is to be chosen from a 30 student classroom. How many ways can this be done?

A: Note that here we have to select a group of 5 students from a 30 student classroom.

Q: The bus has left seats and right seats with the maximum seating capacity of 48 persons. If the right…

A: Maximum seating capacity = 48 Number of right seats of the bus = 23 Number of left seats of the bus…

Q: A student needs 6 more classes to graduate. If she has met the prerequisites for all the classes,…

A: The formula for the number of n combinations taken r at a time is given by Crn=n!r!n-r!.

Q: There are nine different marbles in a bag. A student reaches in and randomly draws one marble at a…

A: Given there are nine different marbles in a bag. A student reaches in and randomly draws one marble…

Q: one family has comfortable children, with four daughters and two sons from a village of 1000 houses,…

A: As per given by the question, one family has comfortable children's with four daughter and two son…

Q: Each student at State College has a student I.D. number consisting of seven digits (the first digit…

A: no.of digits ( 0 to 9)=10no.of letters(A,B,C,D,E)=5

Q: Each student at State College has a student I.D. number consisting of five digits (the first digit…

A:

Q: A garderning company is planting trees and flowers at 3 sites on the median of a new road. For each…

A: * SOLUTION :-

Q: Each student at State College has a student I.D. number consisting of eight digits (the first digit…

A:

Q: A time traveler can take 5 books with him, and he has 76 books to choose from. How many different…

A:

Q: With a short time remaining in the day, a delivery driver has time to make deliveries at 5 locations…

A: In theory of combinatorics, the way of selecting r objects from n objects with regard to the order…

Q: Each student at State College has a student I.D. number consisting of 5 digits (the first digit is…

A: Given: Student ID consists of 5 digits and 3 letters. It means that total characters in student ID…

Q: With a short time remaining in the​ day, a delivery driver has time to make deliveries at 5…

A: Given that, A delivery driver has time to make deliveries at 5 locations among the 9 locations.…

Q: Suppose you have 9 shirts to pick from and 10 pants to pick from. You want to know how many outfits…

A:

Q: A Convener and a Secretary are to be chosen from group of people consisting of 50 people. Explain…

A: i) We can select A as Convener in only 1 way. We can select Secretary from (50-1)=49 people in 49…

Q: The price of a European tour includes four stopovers to be selected from among 10 cities. In how…

A: Given data, No of cities(n)=10 No of stopovers(r)=4

Q: A fedex driver has time to make deliveries at 6 locations among the 9 locations remaining. How many…

A: Solution: From the given information, 6 locations are to be chosen among 9 locations.

Q: With a short time remaining in the​ day, a delivery driver has time to make deliveries at 7…

A: Given information 8 locations 7 deliveries needed 7 deliveries among 8 location is to be made It is…

Q: A traveling agent has to visit four cities, each of them five times. In how many different ways can…

A: There are 205! 5! 5! 5!ways to visit 4 cities, each of them 5 times.

Q: The access code for a car security system consists of four digits. Each digit can be 0 to 9, How…

A: Givena car security system consists of 4 digits each digit can be 0 to 9

Q: A four-person committee is to be selected from an organization’s membership of 12 people.  How many…

A:

Q: With a short time remaining in the​ day, a delivery driver has time to make deliveries at 5…

A: Combination:Combination is defined as the selection of all or part of a set of objects, without…

Q: A student must take 4 courses. In how many ways can they do that if there are 8 courses and 1 is…

A: Solution

Q: At a meeting between coworkers, the eight participants sit on a round table facing the beach. There…

A: Given: There are 8 participants 2 pairs are to be seated together

Q: With a short time remaining in the​ day, a delivery driver has time to make deliveries at 3…

A:

Q: A student needs 11 more classes to graduate. If she has met the prerequisites for all the classes,…

A:

Q: A pin tumbler lock has a series of​ pins, each of which must be positioned at the proper height to…

A:

Q: In a group of students, 100 students know Hindi, 50 know English and 25 know both. Each of the…

A:

Q: In the Brady's Family, each girl has twice as many brothers as she has sisters. However, each boy…

A:

Q: A class of 20 students is seated in a classroom with 5 rows of 4 seats each. How many ways are there…

A: Number of ways in which n students can be divided into k groups of h students is given by,

Q: You need to have a password with 4 letters followed by 4 even digits between 0 and 9, inclusive. If…

A: There are 26 letters for the first choice, 25 for the second, 24 for the third, 23 for the fourth.…

Q: A container of beads contains: 8 red beads, 6 yellow beads, and 6 green beads. A bead will be drawn…

A:

Q: There are 10 questions on a discrete mathematics final exam. How many ways are there to assign…

A: Given: n = 10 (The number of questions) Each question is worth at least 5 points. 10 questions = 10…

Q: With a short time remaining in the day, a delivery driver has time to make deliveries at 6 locations…

A: Since the order of these 6 chosen locations will matter, hence the total number of routes can be…

Q: Can you do this problem?

A: Given:Number of paintings are (n) = 9.Number of paintings selected to hang side by side in a gallery…

Q: A time traveler can take 4 books with him, and he has 98 books to choose from. How many different…

A:

Q: The manufacturer plans to make scarves with 8 colored stripes. There are 16 colors to choose from…

A:

Q: A business has seven locations to choose from and wishes to rank only the top three locations. How…

A: Introduction: The total number of available locations is, n = 7. The number of locations to be…

Q: You are given the word “absolute”. Calculate how many three-letter arrangements can be formed out of…

A: Given : Word = absolute Absolute word has 8 individual letters. Therefore, n=8 Now to pick three…

Q: a committe of 5 people is to be chosen from a group of 6 men and 4 women how many committed are…

A:

Q: You are going to create a portfolio consisting of 2 stocks. There are 6 available stocks to choose…

A:

Q: A student needs 9 more classes to graduate. If she has met the prerequisites for all the classes,…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Q: Dr. Volz gave an exam with 14 questions, but students only had to answer 10 of them. Suppose the…

A: We have to use combination formula. Formula : Crn = n!r!(n-r)!

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.