James is choosing a Four-digit Passcode for his smartphone. How many different Passcodes are possible?

Q: A state makes license plates with 3 letters followed by 5 numbers. If repetitions are permitted, how…

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Q: A couple has narrowed down the choices of a name for their new baby to 4 first names and 6 middle…

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Q: Find the number of different ways that an instructor can choose 6 students from a class of 12…

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Q: How many different 4 letter radio station call letters can be formed if the first letter must be W…

A: It is given that, there are for letters and first letter must be W or K.Thus, there are 2…

Q: Find the number of way to arrange the letters in the word ESTRENGENT. if identical letters must be…

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Q: The 14 teams in the local Little League are listed in the newspaper. How many listings are possible?

A: In this case, there are 14 teams in the local little league.

Q: The local​ seven-digit telephone numbers in city A have 334 as the first three digits. How many…

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Q: For a school health project, Tim asked 128 people whether o missing from the diagram. Healthy Diet…

A: Given that:     Total number of people surveyed=128

Q: The vehicle registration plates in a European country consists of 3 letters followed by 3 digits.…

A: Solution

Q: The records of 1492 high school students were examined, and the following information was obtained:…

A: The records of 1492 high school graduates were examined, which means that the universal set, Now,…

Q: Your friend hands you his iPhone and wants you to attempt to unlock it on the first try. How many…

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Q: How many different ways can 5 calculators be arranged in the cabinet from a group of 15?

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: A fast food restaurant advertises that it offers any combination of 8 condiments on a hamburger,…

A: The number is obtained as follows: The number of choosing none of the condiments on a hamburger:…

Q: There are 8 performers who are presenting their acts at a variety show. How many different ways to…

A: We can pick the first performer in 8 ways. Second in 7 ways. Third in 6 ways. Fourth in 5 ways.…

Q: Ms. Goodman has 18 students in her first-grade class. In how many ways can 4 students be picked to…

A: We will use combination metod for solving this question.

Q: A couple has narrowed down the choices of a name for their new baby to 4first names and 5 middle…

A: Number of ways to choose r object from n objects  =ncr

Q: How many different ways can 5 cellular cellphones be selected from 8 cellular phones?

A: Given,total no.of cellular phones=8

Q: Suppose there are 5 questions in an exam paper, find the number of ways in which a student can…

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Q: Find the number of different ways that an instructor can choose 4 students from a class of 31

A: There are 31 students in a class room, out of 31 students 4 students can be chosen in 31C4 ways

Q: How many 4-digit numbers are there?   And if repetition of digits is not allowed?

A: Given that n= number from 1 to 9 = 9 r = 4 ( since we have to take 4 digit number)

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

A: We know that, No. Of alphabets= 26 No. Of digits= 10

Q: The employees of a company are given a 4-digit identification number. How many different numbers are…

A: GivenThe employees of a company are given a 4-digit identification numberNo.of digits from 0-9=10

Q: How do I set this up?   If 30% of the registered voters voted in the election and 122,700 votes…

A: To set up an equation for the number of registered voters and solve for the unknown

Q: You have an ID number containing from 9 digits. How many IDs get the number “6” as their second or…

A: The set A or B is represented as A∪B . The set A and B is represented as A∩B .

Q: Find the number of different ways that an instructor can choose 6 students from a class of 32…

A: choose 6 students from class of 32 students for a field trip. no. of ways to choose students = ?

Q: A state makes license plates with two letters followed by four numbers. if no repetitions of the…

A: The license plates must consist of two letters followed by four numbers.

Q: The All-County Goat Show will award the blue ribbon for 1st place, red ribbon for 2nd place, and…

A: Using permutations and combination

Q: Radio stations that are on the west side of a nation have call letters consisting of a K followed by…

A: The first letter is fixed with Z and is then followed by 4 letter( repetition allowed) Then,

Q: Customer account "numbers" for a certain company consist of 4 letters followed by 4 numbers. How…

A: There are 26 alphabet and the Digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. The number of different…

Q: Jamal is creating a 5 digit passcode using the digits 0 through 9. How many 5 digit passcodes are…

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Q: ristin Wilson lives in Anderson​, South​ Carolina, and wishes to visit relatives in the following…

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Q: How many words can be formed from the letters of the word: GOOGLEDOODLE ?

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Q: A mother duck lines her 12 ducklings up behind her. In how many ways can the ducklings line up?

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Q: Your friend hands you his iPhone and wants you to attempt to unlock it on the first try. How many…

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Q: Find the number of different ways that an instructor can choose 5 students from a class of 13…

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Q: How many ways can you select which nine players will be in the batting order on a 12- person team?

A: Total number of players = 12 Number of players to be selected =9

Q: How many license plates can be made using either two or three letters followed by either two or…

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Q: Find the number of ways to arrange the following 9 books on a shelf: 2 identical Math books, 4…

A: Given, total no of books = 9 Math books = 2 (Identical) Physics books = 4 (Different) Chemistry…

Q: What are all the ways in which the top 4 racers in a 20 person race can finish?

A: Introduction:In the given situation, the number of persons participated in the race is 20. The…

Q: Find the number of different ways a grade A, B, C or D can be assigned to three students of a class…

A: Suppose we have three students x , y and z Now  x has 4 grade options y has 3( As one is already…

Q: he BMCC web-design club has 40 members. a. In how many different ways can it select a group of 4…

A: Given Data: The number of members in the web-design club is: n=40 The number of members to be…

Q: Find the number of different ways that an instructor can choose 3 students from a class of 29…

A: Find the number of different ways that an instructor can choose 3 students from a class of 29…

Q: A survey was conducted to determine the number people who own different styles of vehicles. The…

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Q: The library labels each book with a five-digit code to identify the book in their computer system.…

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Q: Find the number of different ways that an instructor can choose 3 students from a class of 22…

A: From the provided information, There are 22 students from which 3 students will be chosen for a…

Q: Luiza has 10 different keys. In how many ways can she arrange the keys in a key chain?

A: luiza has 10 different keys .in how many ways can she arrange the keys in a key chain?

Q: How many different four-letter radio station call letters can be formed if the first letter must be…

A: We have to form different four-letter radio station call letters with condition that first letter…

Q: 2. Virginia license plates consist of three letters followed by 4 digits. How many different license…

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Q: A State's License plates consist of 4 letters followed by 5 digits. How many possible license plates…

A: Number of letters = 4 Number of digits = 5 The letters are followed by digits.