How many different license plates are possible if each contains 3 letters (out of the alphabet's 26 letters) followed by 2 digits (from 0 to 9)? How many of these license plates contain no repeated letters and no repeated digits? There are different possible license plates. (Simplify your answer.)

Q: hone numbers take the form of a 3-digit area code, followed by a 3-digit number then a 4-digit…

A: The phone number takes :  the form of a 3-digit area code Total digits possible = 10…

Q: . How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by…

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Q: Don has two pairs of shoes, six pairs of pants, and six shirts. If all items are compatible, how…

A: Given that Don has two pairs of shoes, six pairs of pants, and six shirts. If all items are…

Q: How many numbers of four different digits each greater than 5000 can be formed from the digits 1, 2,…

A: Answer - How many numbers of four different digits each greater than 5000 can be formed from the…

Q: A Civil Air Patrol unit of fifteen members includes four officers. In how many ways can three…

A: We can solve this problem by considering three cases: i) selecting one officer and two non-officers,…

Q: A team composed of two grade 11 and two grade 10 students is to be sent to a debate contest. If…

A: The provided information is  There are Two grade 11 and two grade 10 students  There are also 60…

Q: A license plate consists of 2 letters followed by 4 numbers, and to avoid confusion, the numbers 1…

A: GivenNo.of letters from A-Z =26No.of numbers from 1-0 excluding 1 and 0 = 8

Q: o How many three-letter initials can people have? o How many three-letter initials with none of the…

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Q: A team is being formed that includes five different people. There are five different positions on…

A: five different people in a team.  there are five different positions on the team.  no. of ways to…

Q: How many different two-digit numbers can you form using the digits 3, 8, 7, 4, 1, and 5 without…

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Q: Mr. H has a collection of 500 vessels. In how many ways can he name his favorite and second favorite…

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Q: You can make different burgers. (Type a whole number. Simplify your answer.)

A: You would like to "build-your-own-burger" at a fast-food restaurant. There are seven different…

Q: You have 6 books on a shelf. How many ways could you reorder them? (Enter your answer as a whole…

A: The permutation formula is given by

Q: Melchizedek needs to make a password for his savings account. The password has to be 5 characters…

A: The permutation with repetition of objects can be written using the exponent form. When the number…

Q: a. The large books must always be together. b. The first book and last book must always be medium…

A:

Q: How many different ways can the letters of "jogging" be arranged? The number of different ways that…

A: The word “jogging” contains a total of 7 letters in which “g” letter is repeated 3 times.

Q: There is a class where every student either wears glasses or has dyed hair. There are 35 students in…

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Q: Customer account numbers for a certain company consists of 3 letters followed by 5 numbers How many…

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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: How many 3-digit number can be formed from the digits 0,1,2,3  a. if no two digits are to be the…

A: * SOLUTION :-  from the given information the calculation is given below

Q: Decide whether you would use a permutation, a combination, or neither. Next, write the solution…

A: The objective of this question is to determine the number of ways a committee of five persons can be…

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: I used the permutations formula to determine the number of ways the manager of a baseball team can…

A: Combination : Using combination set of n distinct items r number of way selected without…

Q: Decide whether you would use a permutation, a combination, or neither. Next, write the solution…

A:

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: 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: How many different numbers can you create if you use all the digits 5, 6, 6, 7, 7, 7, 7, 8, and 8?

A: To Determine: How many different numbers can you create if you use all the digits 5, 6, 6, 7, 7, 7,…

Q: How many different four-letter words can you write, using only letters A, B, C, D, E, F, if no…

A: From the provided information, There are 6 letters.

Q: A license plate consists of a letter, followed by two numbers, followed by two more letters. Due to…

A: A license plate has following:A letterThen there are 2 numbersThen there are 2 more lettersI and O…

Q: Glenn and Kim are members of a comedy troupe that has 10 members in all. How many ways can the 10…

A: Given that total member in comedy troupe is 10. In the line up Glenn and Kim stand side by side.

Q: How many different three-digit numbers can be made from 1, 3, 5, and 7, if you can not repeat any…

A: The total number of digits is 4. They are, 1,3,5 and 7.

Q: How many ways are there that his mother can get 5 games? B. How many ways are there that his mother…

A: A young boy asks his mother to get 5 Game cartridges from his collection of 10 arcade and 5 sports…

Q: Customer account "numbers" for a certain company consists of 2 letters followed by 3 single-digit…

A: Given Customer account "numbers" for a certain company consists of 2 letters followed by 3…