A witness to a hit-and-run accident tells the police that the license plate of the car in the accident, which contains three letters followed by three digits, starts with the letters AS and contains both the digits 1 and 2. How many different license plates can fit this description?

Q: Suppose that I want to purchase a tablet computer. I can choose either a large or a small screen; a…

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Q: How many three-digit numbers can be formed of the digits 1, 2, 3, 4, 5, and 6 if each digit can only…

A: There are 6 numbers. The required three digit numbers can be formed using the numbers 1, 2, 3, 4, 5,…

Q: If I have 3,493 points, right now, and I get 320 points every day, and I want to get 27,650 points,…

A: We have to find number of months to achieve 27650 points.

Q: an eyewitness to a crime said that the license plate of the getaway car began with the letters Y,B,…

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Q: A combination lock uses 3 numbers, each of which can be 0 to 23. If there are no restrictions on the…

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Q: A witness to a hit-and-run accident tells the police that the license plate of the car in the…

A: There are 26 letters and 10 digits. The first letter is A. So 1 choice for the first letter. For the…

Q: A person is 4 years old and his sister is half his age, so if this person is a hundred years old,…

A: Given: Age of the person = 4 years Age of the sister = 2 years (half of that of person's age)…

Q: ge, and then will transfer to a college that is not expensive but is

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Q: When dialing a friend's phone number, a person forgot the last four digits, and only remembers that…

A: The last four places can be taken by any number from 0 to 9. Now, two places have same number.

Q: How many 6-places license plates are possible if he first 3 places re to be occupied by letters and…

A: Given data: How many 6-places license plates are possible if he first 3 places are to be occupied by…

Q: A cube of 5 cm is painted on all its faces .If it is sliced into 1 cubic centimetre cubes , how many…

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Q: The average age of a group of students is 12 years old. There are only 11-year- olds and 14-year…

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Q: A busy airport sees 1500 takeoffs per day. Prove that there are two planes that must take off within…

A: In a day there are 24 hours.  1 hour= 60 minute So, in a day there is = (24×60)=1440 minutes.

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: One common system for computing a grade point average​ (GPA) assigns 4 points to an​ A, 3 points to…

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Q: How many four-digit numbers can be formed from the digits 1, 3, 5, 7, 8, and 9 (a) if each digit…

A: We have to find total number of four-digit numbers :

Q: One common system for computing a grade point average​ (GPA) assigns 4 points to an​ A, 3 points to…

A: This is weighted mean problem. The following information in table form is shown on board:

Q: ou are to form a 4-digit number from the digits 1, 2, 3, 4, 6, and 8, using each at most once. How…

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Q: A combination lock uses 3 numbers, each of which can be 0 to 33. If there are no restrictions on the…

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Q: Find a three-digit positive integer such that the sum of all three digits is 14, the tens digit is…

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Q: In the United States, telephone numbers consist of a three-digit area code followed by a seven-digit…

A: Given problem Given that   In the United States, telephone numbers consist of a three-digit area…

Q: A computer user has downloaded 15 songs using an online file-sharing program and wants to create a…

A: Given that the computer use has downloaded 15 songs using an online file-sharing program and wants…

Q: A delivery service claims that orders arrive before noon 90% of the time. If Amy uses the delivery…

A: →Use concept of percentage.

Q: A red wine is brought up from the wine cellar, which is

A: Given, A red wine is brought up from the wine cellar, which is cool 10°C, and left to breathe in a…

Q: A witness to a hit-and-run accident tells the police that the license plate of the car in the…

A: Given that there are 3 letters at first. Among them, the first two are "AS". We can pick A and S in…

Q: you are to form a 5-digit number from the digits 1, 2, 3, 4, 7, 8, and 9, using each at most once.…

A: Given information- We have given the digits = 1, 2, 3, 4, 7, 8, 9 We have to form 5-digit number…

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: At the beginning of 2002, an ice cream shop claimed to have "nearly 1,050 different ice cream…

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Q: A combination lock uses 3 numbers, each of which can be 0 to 38. If there are no restrictions on the…

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Q: In a certain year, Babe Ruth from the New York Yankees had 18 hits in April, 33 in May, 38 in June,…

A: This is a problem related to statistic , so I used the average formula of baseball to calculate the…

Q: following: 1. 4x² + 12x + 32 2. 3mn² – 27m²n³ + 45mn 3. 9x³y⁵ – 108xy

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Q: A woman with a basket of eggs finds that if she removes the eggs from the basket 5 or 11 at a time,…

A: Euclid division lemma states that if a, b, q and r are set of integers then   a=b q +r, where…

Q: In a league of nine football teams, each team plays every other team in the league exactly once. How…

A: Given football league consisting of 9 teams, each team play each other team exactly once

Q: In a certain state, all car license plates have four capital letters followed by three digits. How…

A: Given Car license plates have 4 (A to Z) capital letters followed by 3 (0 to 9) digits

Q: Solve the following problems 1. From the ten digits 0,12,3,4,5,6,7,8,9, how many four-digit numbers…

A: As per our guidelines we are supposed to answer only 3 sub-parts of any question so I am solving…

Q: A student is told to work any 8 out of 15 questions on an exam. In how   many different ways can he…

A: He will pick a group of questions. The arrangement will not matter, so we will use the combination…

Q: A witness to a hit-and-run accident tells the police that the license plate of the car in the…

A: From the given information, There are 26 letters in total in which we have to select three letters…

Q: A computer user has downloaded 22 songs using an online file-sharing program and wants to create a…

A: Here, total number of songs, n= 22 Number of songs to be selected, r = 10

Q: 4-

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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: 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 Little Twelve Basketball Conference has two divisions, with nine teams in each division. Each…

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Q: Solve the following problems completely. How many different sets of five cards each can arrange…

A: In this problem different sets of 5 cards need to be arranged from a pack of 52 cards. This is the…

Q: If you have six books, but there is room for only four books on the shelf, in how many ways can you…

A: From the given information, n=6 and r=4.

Q: Suppose thirty-two students signed up for classes during an orientation session. If exactly twenty…

A: Given that: Total number of students = 32Number of students signed up for chemistry =20Number of…

Q: A witness to a hit-and-run accident tells the police that the license plate of the car in the…

A: The first letter has only one(A) chance, the second letter has 26 ways, the third letter has 26…

Q: Translate

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Q: (2 – 5V3)?

A:

Q: In the United States, telephone numbers consist of a three-digit area code followed by a seven-digit…

A: Given problem Given that   In the United States, telephone numbers consist of a three-digit area…

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.