License plates in a certain state follow the format: four letters, followed by three digits. In addition, the letters Q, O, S, I, D are not allowed. If repetitions are allowed, how many different license plates are possible?

Q: How many 4 digit house numbers are even? (note: 0351 is not considered a house number).

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Q: iPhones have a 6-digit PIN number, how many different PIN numbers are possible?

A: Choices of filling 6 places are 10 I.e.. 0,1,2,3,4,5,6,7,8,9

Q: To keep computer files secure, you create a six character password. Characters can be letters or…

A: There are total 26 letters (A-Z) And 10 digits (0-9) So total (26+10)=36 choices for each character.…

Q: If everyone has two names, a Christian name and a surname, how many distinct pairs of initials are…

A: Suppose everyone has a two names, a Christian name and a surname.

Q: If 94 is recorded using stem-and-leaf display. The number 9 is the?

A: Given that,  the number 94 is recorded using stem-and-leaf display That is,

Q: You were tasked to draw using computer-aided drafting to draw eight different buildings along a…

A: In question, We'll find that in how many ways we draw 8 different buildings along a single line. The…

Q: In a gathering, each of the guests shook hands with everybody else. If a total of 300 handshakes…

A: Suppose there are  n guests. Then each guest shake hands with n - 1 other guest. However , that each…

Q: At a certain university there are 19 different time periods during which classes can be scheduled.…

A: Given that, in a certain university, there are 19 different time periods during which classes can be…

Q: The Reverend minister of a church always insist that every member shake hands with every other…

A: Given: Number of person is, n=90. Number of times required handshake is 1 time. The objective is…

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: A four digit numbers can formed using only the digits 1, 2, 3, 4, 5, 6 (no repeated digits), How…

A: Consider a problem in which there are n vacant inline spots, each of the spots are to be filled by…

Q: Use the following letters J,O,L,L,Y to explain the difference between "permutations" and…

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Q: How many distinct four-digit numbers can be formed by the digits {1, 2, 3, 4, 5, 5, 5, 8, 6}? Select…

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Q: License plates consist of 3 letters followed by a 3-digit whole number. How many different license…

A: Given information: License plates consist of 3 letters followed by 3-digit whole numbers.

Q: If a state issued license plates using the scheme of two letters followed by four digits, how many…

A: There are two letter followed by four digit numbers on  state issued license plates. There are 26…

Q: A license plate is to have the following form: three letters followed by three numbers. An example…

A: There are 26 letters (A-Z) and 10 numbers (0-9) We can pick each letter in 26 ways and we can pick…

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: Wan has 22 bulbs of the same shape and size in a box. The colors of and amounts of the bulbs are…

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Q: Entrance codes at AWC require four numbers, which may be 0 thru 9 and may be repeated. How many key…

A: Multiplication rule of counting: If a task consists of a sequence of choices in which there are ‘a’…

Q: Which of the following situations illustrates combination?

A: Combination is one of the fundamental counting principles.

Q: Ernesto celebrated his birthday party in one of the famous clubs in Batangas City. It was attended…

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

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Q: There are 35 different time periods during which classes at a university can be scheduled. If there…

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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 possible combinations of letters can a person have in their three-letter initials if no…

A: Given a person have three letter initials and no letter repeats.Total number of letters = 26.The…

Q: You need to choose a new 8-character password for your account. The password can contain only…

A: The objective of this question is to calculate the total number of possible passwords that can be…

Q: license plate number consist of a letter , followed by 3 single digit numbers,followed by 2 more…

A: Given that - license plate number consist of a letter , followed by 3 single digit numbers, followed…

Q: an ATM personal identification number consists of 3 digits. 0,1,2,...,8 or 9 in succession. how many…

A: GivenMake 3 digit with the help of 0,1,2,3,4,5,6,7,8,9

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

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Q: The pep band designs a cheer that includes the follwing repeating pattern: stomp, stomp, clap, clap,…

A: Introduction: It is required to identify the 712th action.

Q: If eight men can cut twenty-eight trees in a day, how many trees can twenty mean cut in a week?

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