When you get to college you will be assigned a new Student Identification Number. If this number is 9 digits long followed by 2 letters, how many possible students can the school accommodate

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

A: Given information Students need 9 more classes to graduate No of class periods to fill = 5

Q: The password for a new online gaming site must contain three letters followed by four digits. The…

A: Given that there are 3 letters in the password and the letters can not repeat. There are 26 letters…

Q: You need to create a new passcode for your iPhone, their are 10 numbers to choose from and your…

A: Remark: We know the number of different permutations of n distinct objects taken r at a time is nPr…

Q: From 4 boys and 8 girls, the number of ways can 6 be chosen, (i) to include only one boy. (ii) to…

A: 12 children, in which 4 boys and 8 girls and we want to chose 6 children

Q: James owns 8 different mathematics books and 6 different computer science books and wish to fill 5…

A: Here , Order is not important . Hence use combination to find arrangement of books in a shelf .  n =…

Q: .A college freshman must take a science course, a humanities course, and a mathematics course. If…

A: Solution

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: When you start your new job, you will be assigned an Employee Identification Number. If this number…

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

Q: man gives his dog one type of medication every 9 ​days, and a second type of medication every 6

A: First type of medication given to the dog for every 9 days . Second type of Medication given to the…

Q: If there are 12 teams in a basketball tournament and each team must play every other team in the…

A: It is given that 12 teams are in a basketball tournament and each team must play every other team in…

Q: If 7 numbers will be used to form telephone numbers, how many possible telephone numbers can be…

A:

Q: The Rosedale Thunders hockey team has 6 players who can play goalie and 8 (different) players who…

A:

Q: You have 7 math books and 7 history books to put on a shelf with five slots. In how many ways can…

A:

Q: A woman with a basket of eggs finds that if she removes the eggs from the basket 3 or 5 at a​ time,…

A: Ans 16

Q: A witness to a hit-and-run accident immediately reported to the police, although he could no longer…

A: Given that a license plate contained three letters, and the second letter was anything after T. The…

Q: You can choose from seven science courses and five humanities courses. In how many ways can he…

A: Number of science course = 7 Number of Humanities course = 5 Total number of course = 7+5 = 12…

Q: If there are 13 possible project topics and 6 students must choose from the available topics, how…

A:

Q: Svetlana flipped a coin 24 times, and got heads more than twelve times as often as tails.  How many…

A: Given Data: The number of times a coin is flipped is: N=24 Let, The number of times got head is H…

Q: A license plate is to consist of 3 letters followed by 5 digits. Determine the number of different…

A: First, make all possible combinations of first 3 elements of the license plate, that is we need 3…

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

A:

Q: A family has six children. If this family has exactly three boys​, how many different birth and…

A: From the provided information, Total children in a family = 6 The family has exactly 3 boys.

Q: An employee at a construction company is ordering interior doors for some new houses that are being…

A:

Q: It takes 10 minutes to make, 20 minutes to paint one captain’s chair, whereas it takes 5 minutes to…

A: Given: For Captain's chair, time for making= 10 mins time for painting= 20 mins   For the regular…

Q: If Chad has 14 stickers and half of those are silver. Sarah has 29 more stickers but 5 fewer silver…

A: Provided that person C has 14 stickers, in which 7 are silver. Another person S has 29 more than…

Q: A preschool teacher is rearranging four boxes of playing blocks so that each box contains an equal…

A: Given: Box 1 = 32 blocks Box 2 = 18 blocks Box 3 = 41 blocks Box 4 = 9 blocks

Q: A university student is selecting courses for his next semester. He can choose from 4 humanities…

A:

Q: You need to have a password with 55 letters followed by 22 odd digits between 00 and 99, inclusive.…

A: In this context, it is appropriate to have a password with 5 letters followed by 2 odd digits…

Q: Find the number of ways that 6 teachers can be assigned to 4 sections of an introductory psychology…

A: It is given that, 6 teachers can be assigned to 4 sections. We have to find the no. of ways that 6…

Q: A football club has 15Players. Find the possible number of team with 11Players which can be formed…

A:

Q: A man is six times as old as his son. In 9 years, he will be three times as old as his son. How old…

A: Since you have posted multiple question I can do first question as per our company guideline, please…

Q: How many possible license plates can be issued with two letters followed by three numbers?

A: The state issues license plates consisting of letters and numbers. There are 26 letters and the…

Q: A team of 5 people will be selected out of 9 boys and 14 girls. How many different teams can be…

A: Given that, Total number of girl = 14 Total number of boy = 9 We have to find number of different…

Q: A phone number in the United States consists of 10 digits, 3 for a area code and 7 for the phone…

A: Given Data: The number of digits whole phone number consists of: 10 digits The number of digits the…

Q: If I got 8 out of 12 answers the same as a classmate, is it possible for me to get no answers…

A: According to the provided information, 8 out of 12 answers the same as a classmate.

Q: A university student is selecting courses for his next semester. He can choose from 5  science…

A: Given,no.of science courses=5no.of humanities courses=10Total no.of courses=15

Q: How many even three digits numbers can be found from the digits 3,2,5,6 and 9 if each digits can be…

A: Given, s={3,2,5,6,9}

Q: The board of an Internet startup company has thirteen members. If one person is to be in charge of…

A: To find: How many ways can the two positions filled.

Q: A history teacher gives a 20 question true-false exam. And how many ways can the test be answered if…

A: Fundamental principal of counting : if a  thing can be done in m ways and another thing in n ways ,…

Q: A baker wants to arrange some apple tarts on baking trays. If he puts 5 tarts on each tray, he will…

A: We have, if baker puts 5 tarts on each tray, he will  have 1 tart left over. Also if he puts 7 tarts…

Q: Each student at State University has a student ID number consisting of five digits (the first digit…

A: Solution: From the given information, a student ID number consisting of five digits followed by two…

Q: A, B, C, and D are going to ride in A’s car to go to the mall. But only A and C know how to do drive…

A: Given, The number of individuals is 4 The individuals are A, B, C and D. The number of front seats…

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

A:

Q: umber of words of 3 consonants and 2 vowels can be made from 7 consonants and 4 vowels, if all the…

A: Given: Number of consonants = 7 Number of vowels = 4

Q: How many automobile license plates can be made if each plate contains two letter followed by 3…

A: Given: Number of digits in a license plate = 3 Number of letters in a license plate = 2

Q: A university student is selecting courses for his next semester. He can choose from 5 humanities…

A:

Q: If the sum of n successive odd natural numbers starting from 3 is 48 , Find the value of n

A:

Q: When you get to college you will be assigned a new Student Identification Number. If this ID is 5…

A: The number of ways to select r objects out of n is given by the formula nCr=n!r!(n-r)!. Therefore,…

Q: Suppose a department contains 12 men and 15 women. How many ways are there to form a committee with…

A: According to the question  number of combination are

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: license plate is to consist of 2 letters followed by 3 digits. Determine the number of different…

A: Given that, a license plate consist of 2 letters followed by 3 digits. Determine the number of…

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.