QUESTION 3 A state makes license plates with 2 letters followed by 4 numbers. If no repetitions of the numbers are permitted, how many different license plates are possible?

Q: The seven given numbers are: 5, 6, 3, 4, 1, 2, and 7. A. How many five-digit numbers can be formed…

A: Given seven numbers are5,6,3,4,1,2,7

Q: There are 10 students in a class. In how many ways can an instructor give at most three students a…

A: n = 10 Let x represent the number of students given grade A.   The number of ways a student can be…

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: In how many ways can six books be lined up along a shelf?

A:

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

A:

Q: A student has 20 video games: 4 adventure games, 6 arcade games, 5 puzzle games, and 5 simulation…

A: Given : A student has 20 video games : 4 adventure games , 6 arcade games , 5 puzzle games and 5…

Q: You are a professor of journalism and have 14 students in your class. You tend to call on students…

A: It is given that, There are 14 students in your class. professors can choose 6 students during your…

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: Five people come to a party and shake hands with each other. If each person shakes the hand of every…

A: Five people come to a party and shake hands with each other. If each person shakes the hand of every…

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

A:

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: How many 4-digit numbers are there?   And if repetition of digits is not allowed?

A: Given that n= number from 1 to 9 = 9 r = 4 ( since we have to take 4 digit number)

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: In how many ways may Ana select 5 of her 10 friends to attend her birthday party? In how many ways…

A: Here use combination

Q: How many license plates can be made using two letters followed by four digits (0-9), allowing…

A: From this given information, license plates can be made using two letters followed by four digits…

Q: In how many different ways can ten books be arranged on a shelf?

A: Given that there are ten books available to arrange them in shelf.

Q: There are 10 students in a class. In how many ways can an instructor give at least one student a…

A: There are 10 students So sample size, n= 10 And we've to find ways for at least 1 student. So r= 1

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

A:

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: 1. A student found 8 Mathematics books in the library. The library rules permit him to check out…

A:

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: Which of the following situations illustrates combination?

A: Combination is one of the fundamental counting principles.

Q: If Joe only has room for 2 of his 6 flags on his flagpole, how many different ways can they be…

A:

Q: In how many ways can you choose one or more toys from six Jollibee Kiddie Meal Toys? answer this…

A: Given Information: The number of Jollibee Kiddie meal toys , N =6. Determine the number of ways that…

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.

Q: The soccer team has 20 members and will elect P, VP, T and S. In how many ways can this be done?

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: In how many ways 7 boys and 6 girls can be arranged on a bench if Anne and Jim sit together?

A:

Q: A student has 12 video games: 4 adventure games, 2 arcade games, 3 puzzle games, and 3 simulation…

A: The fundamental counting principle says that if n ways are there to complete one thing, and m ways…

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 two letters and three digits. How many different plates can be made if…

A: no.of digits (0 to 9)=10no.of letters (A to Z)=26