Telephone area codes are three-digit numbers. The first digit is not 0 nor 1. How many three-digit numbers oft this type are possible?

Q: Five couples want to have their pictures taken. In how many ways can they arrange themselves in a…

A: Here we have to find the total numbers of ways so that they can arrange themselves in a row of…

Q: The local​ seven-digit telephone numbers in city A have 480 as the first three digits. How many…

A: Given, the local seven-digit telephone numbers in city A have 480 as the first three digits. There…

Q: How many 5-digit numbers can you make using the digits 1-8 if repetition is allowed?

A:

Q: How many different phone numbers are possible in the area code 503, if the first number cannot start…

A: There are 10 numbers from 0 to 9. After the area code 503, there are 7 numbers. There are 8 other…

Q: 10) There are 8 members on a board of directors. If they must form a subcommittee of 6 members, how…

A: Given data 8 members available  We have to select 6 from it for committee Here order of selection…

Q: There are 8 nickels, 5 dimes, 7 quarters, and 6 loonies in a piggy bank. You are thinking of…

A: Given, in a piggy bank, there are  8 nickels, 5 dimes, 7 quarters, and 6 loonies.

Q: How many 4-digit combinations can be made from the digits 0-9?

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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 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: 1. How many different license plates are possible using 3 letters followed by 3 digits? digits and…

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Q: In certain state the license plates all consist of 2 letters followed by 3 digits. a. How many…

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Q: How many​ 10-digit telephone numbers​ (area code+​number) are possible if the first digit cannot be​…

A:

Q: Five of ten books are arranged on a shelf. In how Many waYS Can this be done?

A:

Q: A license plate in a certain county consists of 4 letters followed by 3 single digits.  How many…

A: Permutation is deals with arrangements. It is used to calculate the number of ways a certain number…

Q: There are 8 teams in the Metropolitan Division in the NHL's Eastern Conference. How many ways can…

A: Given , Number of teams=8 Number of ways can the team finish first = 8Number of ways can the team…

Q: Eleven people work in an office. If six of them are to be chosen to serve on a hiring committee, how…

A: Total people in office = 11 Six of them are to be chosen to serve on a hiring committee.

Q: How many eight digit telephone numbers are possible if the first two digits cannot be twos or zeros?

A: To find the number of ways

Q: How many seven digit telephone numbers are possible if the first two digits cannot be twos or zeros?

A:

Q: Consider a Little League team that has 15 players on its roster. How many ways are there to select 9…

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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: License plates in a certain state start with 3 letters (but they don’t use I or W) and then 3…

A:

Q: How many 4-digit numbers can you make using the digits 1-5 if repetition is allowed? *

A: We have to find the number of 4-digit numbers that can be formed using the digits 1,2,3,4,5.The…

Q: An office building has six doors. In how many ways can a person enter the building through a…

A: When a number of things are arranged in some order or a rearrangement is made for those things, this…

Q: Certain automobile license plates consist of a sequence of three letters followed by four digits. If…

A: We have a license plate that consists of a sequence of three letters followed by four digits. The…

Q: How many different ways can 5 brands of soda be displayed on a supermarket's shelf, one at a time in…

A: Given Information: 5 brands of soda are to be displayed on a supermarket's shelf.  It is needed to…

Q: an accounting firm has 161 employees if 3/7 of them are cpa's then how many cpa's are there

A: We have to find no of cpa

Q: The English alphabet contains 21 consonants and 5vowels. How many word of length 4 can you write all…

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Q: How many 5-digit numbers can you make using the digits 1-8 if repetition is allowed? *

A: Introduction: It is required to find the number of possible 5-digit numbers that can be made using…

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

A: Given, a state's License  plate consist of 4 letters followed by 5 digits.

Q: How many different numbers of five digits can be made using the digits 2,2,3,3,3?

A: The objective is to find how many different numbers of five digits can be made using the digits…

Q: How many six digit numbers can be formed with no repetitions?

A: We can use all the 6 digits without repetition A 6 digit number cannot have  0 in the first place.…

Q: A baseball team has 13   players. How many 9​-player batting orders are​ possible?

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Q: A. How many 3 digit numbers greater than 200 can be made from 0,1,2,3,4,5 if repetition of digits is…

A:

Q: 2. If a license plate consist of 3 letters followed by 3 digits, how many license plates are…

A: Here the repetition of letters and numbers are allowed.

Q: A  locker combination system uses four digits from 0 to 9. How many different four-digit…

A: A  locker combination system uses four digits from 0 to 9. To find how many different four-digit…

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: How many combinations of three-digit numbers are possible with digits 2,4,6?

A: Given three digits are : 2 , 4  and 6 .  Combination of digits : _ _ _ (three places)  For the first…

Q: How many 5-digit license plate numbers can we generate from the numbers, 0, 1, 2, 3, and 4 if it…

A: Given: There are 5digits 0 , 1 , 2 , 3 , 4 We need to count number of  5 digit number plates…

Q: How many different license plates are possible if 2 uppercase letters are followed by 4 digits and…

A: A number plate consist of 2 uppercase letters followed by 4 digits, in which first digit cannot be…

Q: A hotel reservation number consists of 3 digits, followed by 2 letters, followed by 2 digits. How…

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Q: In how many ways 5 passengers can sit in a compartment having 16 vacant Example 39. seats?

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Q: How many ways can an IRS auditor select 5 of 12 tax returns for an audit?

A: We have to find no of ways...

Q: How many seven-digit telephone numbers are possible if the first two digits cannot be ones or zeros?…

A: How many seven-digit telephone numbers are possible if the first two digits cannot be ones or zeros?…

Q: How many different 3-digit numbers can be formed with the digits 1, 2, 4, 6, and 8? How many of them…

A: When the digits are not repeated: The given digits are 1,2,4,6 and 8 The number of digits is 5. The…

Q: A pizza parlor offers four sizes of pizza and 14 different toppings. A customer may chooseany number…

A: Four sizes of pizza and 14 different toppings;

Q: how many different license plates are possible if each contains four english letters followed by…

A: Here total English letter 26  And digits are 0,1,2,....9 that is total 10 digits

Q: A corporate ID number consists of any three numerical digits, followed by any two letters of the…

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

Q: There are 125 students in a class. At least how many students came from the same state if there are…

A: There are 125 students and 16 states We divide 125 by 16 to find the least number of students from…

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

A:

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.