How many plates are possible each plate consists of three letters followed by three digits excluding zero. Repeats are allowed.

Q: A hotel reservation number consist of 4 digits, followed by 1 letters , followed by 2 digits. How…

A: Hotel reservation number consist of 4 digits, followed by 1 letter , followed by 2 digits.  Total…

Q: . A zip code contains 5 digits. How many different zip codes can be made with the digits 0–9 if no…

A: Given; Total number of digits=5Condition- First digit is not zero and no digit is repeated.

Q: Five flags are posted in a row. In how many ways can these flags be posted if the Philippine flag…

A: Number of flags posted in the row. Philippine flag is at center.

Q: Nine students are to be seated in a row of chairs. How many arrangements are possible if 3 students…

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Q: If no repetitions are allowed: a) How many three-digit numbers can there be with the digits:…

A: 1,3,4,5,6 are 5 digits  a) We have to pick 3 digits from these 5 digits.  Order will matter, so we…

Q: A password for a computer consists of four digits. How many different passwords are possible?

A: Given that a password for a computer consists of four digits. We know that the possible digits are;…

Q: An ice cream store sells 25 flavors of ice cream. Determine the number of possible 7-dip sundaes.…

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Q: To use an automated teller machine (ATM), a customer must enter his or her four-digit Personal…

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Q: 6. Each telephone number in a city consists of 7 digits. а. How many telephone numbers are possible…

A: As per bartleby guidelines for more than one questions asked only first should be answered. Please…

Q: Ten athletes compete in a race. How many ways can they be awarded if only the first, second and…

A: there are 10 athletes compete in a race

Q: A hotel reservation number consists of five digits followed by two letters followed by three digits…

A: hotel reservation number consists of five digits followed by two letters followed by three digits…

Q: How many different license plates are possible if each contains 4 letters (out of the alphabet's 26…

A:

Q: Five friends have tickets next to each other in one row. If two of the friends must sit next to each…

A: Five friends have tickets next to each other in one row. Two of the friends must sit next to each…

Q: An organization sponsored a raffle where they were to sell all 500 tickets sequentially numbered…

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Q: How many combinations are possible? Assume the items are distinct. 9 items chosen 6 at a time…

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

Q: How many different license plates are possible if each contains 4 letters (out of the alphabet's 26…

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Q: A family has 4 children.  How many different boy/girl orders are possible?

A: When a family has a child there are two possibilities either a boy or a girl.

Q: A large amphitheater is set up in such a way that there are 16 seats in the first row 27 seats in…

A: The given problem is regarding arithmetic progression series. First-term is given. A common…

Q: Hi. Can I get help how to figure this out? Thanks.

A: Given information:A group of 10 friends consists of 5 married couples.From this it can be said that,…

Q: Six men and eight women are to line up for a picture with the six men in the middle. How many ways…

A: Given that  Six men and eight women are to line up for a picture with the six men in the middle  How…

Q: our children are chosen from a class of 30 for a survey.

A: Given that  Total children in class (n) = 30 Number of children to choose (r) = 4   By Combinations…

Q: How many inscribed triangles can be formed?

A: Here AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION  PLZ REPOST FOR REMAINING  Here given  Nine…

Q: Visa cards have 16 digits. The first digit is always 4 as in 4xxxxx – with the 2nd to 6th digits…

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Q: How many strings of six letters are there? Give explanation. ( Please demonstrate step-by-step)

A: There are total 26 letters. To get strings of six letters, there can be two ways: Without…

Q: How many ways can a person toss a coin 15 times so that the number of heads is between 8 and 13…

A: Since , the coin is tossed 15 times. Our aim is to find the number of heads is between 8 and 13…

Q: password contains 2 letters and 2 digits.  How many passwords are possible if repetitions are NOT…

A: The number of letters is 2 and the number of words is 2.

Q: You and 10 friends all have tickets for seats in the same row at a concert. How many different ways…

A: Please see the explanation below

Q: how many five letter codes can be made if each chosen letter (from the the original 7 letters) can…

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Q: How many seats are there in all 28 rows?

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Q: Three married couples have purchased tickets for a play. Spouses are to be seated next to each…

A: Given :  Three married couples purchased tickets.                 To find  :  How…

Q: How many 5-letter word (even without meaning) can be created from the letters of the word "THERMO S"…

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Q: Nine men and six women are to line up for a picture with the nine men in the middle. How many ways…

A: It is provided that there are nine men and six women who are line-up for a picture with the nine men…

Q: A ternary string is a string made up of 0's, 1's. and 2's. How many ternary strings of length 55 are…

A: A ternary string is made up of only 0's, 1's and 2's

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

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Q: A telephone number consists of 7 digits. How many phone numbers are possible if the first digit is…

A: Solution: The digits other than 4, 3, 2, 1, 0 are 5, 6, 7, 8 and 9.

Q: How many combinations are possible? assume the Items are distinct. 5 items chosen 2 at a time

A: C(n,r) = n! /{r! (n-r)!}

Q: The local seven digit telephone numbers in city A have 227 as the first three digits. How many…

A: Given that: Local 7 digit telephone numbers in a city A have 227 as the first three digits.

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 class of 20 students is seated in a classroom with 5 rows of 4 seats each. How many ways are there…

A: Number of ways in which n students can be divided into k groups of h students is given by,

Q: Five singers are to perform at a night club. One of the singers insists on being the last performer…

A: Given Five singers are perform at a night one singer is the last performer

Q: Customer account "numbers" for a certain company consists of 2 letters followed by 2 single-digit…

A: To find: The total number of possible account number if repetition of digits and letters are…

Q: Each student at State College has a student I.D. number consisting of 3 digits (the first digit is…

A: The students id has 6 places. The 1st 3 places has to be filled by the digits, and last 3 places has…

Q: 100 books include 9 subjects are arranged on three shelves, each shelf contains only three subjects,…

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Q: A fishing camp has 15 clients. Each cabin at the camp will accommodate 6 fishermen. In how many…

A: Combination: The number of different selections of ‘r’ elements (order doesn’t matter) from a set of…

Q: A teenager is given 5 different jobs that they must do before they may go out to a movie with…

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Q: a coin five times, how many ways ca

A: From the given information, the coin is flipped five times. The total outcomes is 25=32. The…

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: How many Kids' Lunches are possible?

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Q: Three married couples will go to the movies and occupy six seats in a row. How many seating…

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Q: How many different two-digit numbers can be made from the digits 3, 5 and 7 if: (a) the digits can…

A: (a) If digits can be repeated, then following are the possibilities to get a two digit number: 3,3…