A license plate begins with three letters. If the possible letters are A, B, C, D and E, how many different permutations of these letters can be made if no letter is used more than once?

Q: There are 17 students in a class, and 5 of them will be chosen to go on a field trip. How many ways…

A: The objective of this question is to find out the number of ways in which 5 students can be chosen…

Q: A shipment of 50 calculators contains 3 that are defective. In how many ways can an inspector choose…

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Q: How many permutations of three items can be selected from a group of six? Use the letters A, B, C,…

A: There are total three item have to select from a group of six

Q: At the DVD rental store, Jamie found 6 DVDs that she wanted, but can only rent 4. How many possible…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Two coins are randomly drawn from a coin pouch. If there are 4 dimes, 2 nickels, and a quarter, how…

A: The pouch contains 4 dimes, 2 nickels and one quarter. Two coins are randomly drawn from a pouch.

Q: There are 52 cards in a standard deck. Thirteen of those cards are spades. The deck is shuffled and…

A: Given that there are 13 spades.  We have to select 3 spades from the 13 spades.    Since the order…

Q: How many distinct arrangements of the letters in the word “footballers” are possible?

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Q: In how many different ways can a 4-child family have 2 boys and 2 girls?

A: To determine: Ways can a 4-child family have 2 boys and 2 girls.

Q: Two coins are randomly drawn from a coin pouch. If there are 4 dimes, 2 nickels, and a quarter, how…

A: Two coins are randomly drawn out from  a coin pouch . In a pouch we have given that there are 4…

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: As the project manager of a project, you are in charge of a team of seven people which includes…

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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: How many different​ 4-letter acronyms can be made if the first letter must be E, X, or P and no…

A: Following solution is provided below

Q: A New club at Arvin High has 22 members. In how many ways can the club elect a president and Vice…

A: The number of members in the club is 22. The number of ways of electing a president is C122=22.…

Q: There are two copies each of 4 different books. In how many ways can they be arranged on a shelf?

A: GivenTwo copies each of 4 different booksTotal no.of books=2×4=8

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 many different license plates can be made by using two letters followed by three digits selected…

A: The licensing plate should contain 5 places in which first 2 positions filled with letters and next…

Q: A coin is tossed five times. In how many ways can it fall three heads and two tails?

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

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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: 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: How many different​ 4-letter acronyms can be made if the first letter must be K, U, or Y and no…

A: How many different 4-letter acronyms can be made if the first letter must be K, U, or Yand no letter…

Q: A person has 3 dress​ shirts, 3 ​ties, and 4 jackets. In how many ways can that person select a…

A: The objective of this question is to find out the total number of ways a person can select a dress…

Q: An urn contains 6 green balls and 7 red balls. A man selects balls at random without looking at…

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Q: Find the number of permutations using 4 different letters a, b, c, and d, if they are taken 2 at a…

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Q: The letters A,A,A,B,B,C,C,D,E,F,G,H are printed on identical cards (one letter on each card). The…

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Q: If radio station call letters must begin with either the letter K or W and must include either two…

A: Given information Letter can start with letter K or W and include either two or three additional…

Q: In how many ways can 7 women and 7 men partner up for ballroom dancing, if each person has to dance…

A: The number of ways to select r objects from n objects is computed by using the formula of…

Q: in how many ways can the 20 children in a third-grade class be paired up for a trip to the museum?

A: Given that, There are 20 children and we need to make them as pairs.