Standard license plates in a country have 3 letters (i.e letter A to Z. You know there are 26 letters in English alphabet) followed by 3 numerals (i.e. the digits 0,1, 2,...,9). Repetition of characters is allowed (e.g. AAA 000, AAZ 233 are ac- ceptable license plates). If this license plates are generated by randomly selecting 3 characters from letters (A to Z) and 3 numerals (i.e. the digits 0, 1, 2,...,9 ), then calculate the probability that a license plate generated begins with the letter B and ends with the numeral 5?

Q: An oil company is going to issue new ID codes to its employees. Each code will have one letter,…

A: We have given that We have 22 letters (expect W,X,Y,Z) And 10 digits

Q: Student Identification Numbers at a certain college must have four letters followed by three numbers…

A: Introduction: It is required to calculate the number of ID’s that the college can issue.

Q: How many 4-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, if repetition of digits…

A: In this question, concept of combination is applied. Combination A combination is a mathematical…

Q: I have seven numbers: 1, 2, 3, 4, 5, 6, 7. five digit numbers which 15, 20, ... are multiples of 5.)…

A: Given numbers: 1,2,3,4,5,6,7 Total = 7 numbers To find: Number of five digit numbers which are…

Q: Determine the number of different words possible by rearranging the letters of ERRTDADX

A:

Q: 2. In how many numbers with seven distinct digits do only the digits 1-9 appear?

A:

Q: What are the number of ways a license plate can have 7 distinct letters and digits, that must start…

A: The license plate will have four letters and three digits.The license plate must start with a letter…

Q: Standard automobile license plates in a state display 5 digits (from 0-9), followed by 2 letters…

A: Standard automobile license plates in a state display 5 digits (from 0-9), followed by 2 letters…

Q: license plates in a particular state display 3 letters followed by 3 numbers, gow many different…

A: Given information:The license plate displays 3 letters followed by 3 numbers.To Find: The number of…

Q: How many different 4 digit numbers can be formed using only the digits 3, 5, 7 and/or 9, if each…

A: It is required to find the number of different 4 digit numbers that can be formed using only the…

Q: How many three-letter "words" can be made from 5 letters "FGHIJ" if repetition of letters (a) is…

A: Given5 letters is "FGHIJ"No.of letters = 5

Q: Standard automobile license plates in a country display 3 numbers, followed by 3 letters, followed…

A: The standard automobile license plates in a country display 3 numbers, followed by3 letters,…

Q: 2. Find azı for {121, 118, 115, .. }

A:

Q: How many three-letter "words" can be made from 7 letters "FGHIJKL" if repetition of letters (a) is…

A: It is given that there are 7 letters available in “FGHIJKL”.   a). Since, the repetition of letters…

Q: How many distinct 9-letter words starting with “i” can be formed from the word “committee”?

A:

Q: What is the number of distinct arrangements of all the letters in the word CELLPHONE

A: Useful formula: n!=n*(n-1)*(n-2)*(n-3)*..........*3*2*1

Q: Georgia is creating new license plates for 2020. The plate will have 2 letters followed by 6 digits.…

A: There are 26 letters (A-Z) and 10 digits. [0-9]   We can pick each letter in 26 ways.  We can pick…

Q: Consider the 7 letters A, B, D, E, F, G and O. How many 3-letter words can be formed from the 7…

A: Hi, thanks for posting the question. Since there is more than one question posted. We will answer…

Q: Find the distinct number of arrangements of the letters in the word “academia” that begin and end in…

A: letters of word academia we have to arrange letters so that it begin and end with a.

Q: How many different 10-letter words (real or imaginary) can be formed from the following letters? G,…

A: There are 10 letters; G, P, W, R, K, V, P, A, F, P

Q: Say a license plate has 3 letters followed by 5 digits. a) How many different license plates are…

A: It is known that there are, 26 letters and 10 digits (0 to 9). a) Given that, the license plates…

Q: Standard automobile license plates in a country display 1 numbers, followed by 3 letters, followed…

A: Solution: Here license plate contains first 3 letters followed by 3 numbers. Total number of choice…

Q: A particular state's license plates have 7 characters. Each character can be a Cap How many license…

A: Introduction: Permutations are referred to as arrangements, while combinations are referred to as…

Q: How many different three-letter arrangements can be formed using the letters A, B, C, and D if…

A: The given problem is a question about permutations, a fundamental concept in combinatorics, a branch…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.