License plates consist of 4 digits followed by 4 upper-case letters. Plates that start with 00 are reserved for official use and are never issued to the public. Furthermore, eight profane 4-letter words are never used on license plates. How many license plates can be issued to the public, and how many are available for official use?

Q: How many distinct 4-letter words can be formed from the word “books”?

A: The given word is “books”. The distinct letters in the word are b, o, k, s which are 4. The number…

Q: How many three-letter "words" can be made from 8 letters "FGHIJKLM"

A: Combination : Combination is an way of arranging the possible objects from a set of objects . Where…

Q: From a list of 49 captains, 4 are to be promoted to major. In how many ways can this be done?

A: GivenNo.of captains=49No.of captains promoted as major =4

Q: In Virginia, each automobile license plate consists of a single letter followed by three digits,…

A: 10×26×26×26×10×10×10

Q: How many license plates can be made using either three digits followed by three uppercase English…

A: 22,464,000 license plates can be made using either three digits followed by three uppercase English…

Q: A State's License plates consist of 4 letters followed by 5 digits. How many possible license plates…

A: Given,  License plate consist of 4 letters followed by 5 digits. Since repetition of the letters and…

Q: How many different letter arrangements can be made from the letters in the word of…

A: Given word is COMMUNICATION"c" is repeated 2 times"m" is repeated 2 times"N" is repeated 2 times"I"…

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: How many forty-passenger buses are needed for a school field trip if 156 students and five teachers…

A: There are 156 students.  And five(5) teacher.

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

A: # Given Letters: FGHIJKL no of three letters words made if  1): repetition is allowed 2): if…

Q: If the state’s license plates include 2 letters followed by 5 digits (ex. AB 12345), how many…

A:

Q: A survey of residents in a certain town indicates 170 own a dehumidifier, 130 own a snow blower, and…

A:

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: What is the number of 3 letter words can be made with the letters in the word 'OMAN'?

A:

Q: In recent years, a state has issued license plates using a combination of two letters of the…

A: Given that, In recent years, a state has issued license plates using a combination of two letters of…

Q: How many three-letter "words" can be made from 10 letters "FGHIJKLMNO" if repetition of letters (a)…

A: Solution: 39. From the given information, the 10 letters are “FGHIJKLMNO”.

Q: In a certain state, all car license plates have four capital letters followed by three digits. How…

A: We know that, No. Of alphabets= 26 No. Of digits= 10

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 three-letter "words" can be made from 8 letters "FGHIJKLM" if repetition of letters (a) is…

A: Permutation: It defines the number of possible ways an object can be arranged or ordered. The…

Q: 10 officials were asked to sit in a round table. In How many ways can they be seated?

A: given  10 officials were asked to sit in a round table

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

A:

Q: From a list of 34 captains, 6 are to be promoted to major. In how many ways can this be done?

A: To write that in how many ways it can be done

Q: How many 5-number license plates can be made using the digits: 0, 1, 2, 3, 4, 5, if repetitions are…

A: Given that 5-number license plates that are made using digits 0, 1, 2, 3, 4, 5. We have to determine…

Q: Maria has seven different skirts, five different tops, ten different pairs of shoes, four different…

A:

Q: How many different 4-letter words can be formed from the letters of BUSTLED?

A: The given word is BUSTLED

Q: One company’s ID cards consist of 5 letters followed by 2 digits. How many cards can be made if…

A: Consider that there are 26 letters, while the company’s id card consists of 5 letters followed by 2…

Q: The Student Council at a certain school has 11 members. Out of those members, a committee consisting…

A: Given information: The student council at a certain school has 11 members. From the 11 members, a…

Q: How many license plates can be made using either four uppercase English letters followed by five…

A: Explanation To find - how many license plates can be made by using either four uppercase English…

Q: How many different five letter “words” can be made out of the letters in the word world?

A:

Q: A State's License plates consist of 4 letters followed by 5 digits. How many possible license plates…

A: Given, a state's License  plate consist of 4 letters followed by 5 digits.

Q: How many license plates can be made using either three uppercase English letters followed by three…

A:

Q: 4. The Recycling Club collected 196 cans on Monday, 248 on Tuesday, 205 on Wednesday and , 256 on…

A:

Q: A phone number in the United States consists of 10 digits, 3 for a area code and 7 for the phone…

A: Given Data: The number of digits whole phone number consists of: 10 digits The number of digits the…

Q: How many words, with or without meaning, each of 3 vowels and 3 consonants can be formed from the…

A: Permutation is an arrangement or order of selecting some of the elements from a group or a set of…

Q: ow many three-member committees can be formed from a group of seven people?

A:

Q: A home improvement store website listed 270 different kinds of glass wall tile, 38 colors of acrylic…

A: It is given that, Number of different kinds of glass is 270, Number of colors of acrylic grout is…

Q: The Greek alphabet has 24 letters. How many fraternity names can be made using 2 or 3 letters if: a)…

A: We have to solve it by permutation and combination.

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

Q: How many three-letter "words" can be made from 10 letters "FGHIJKLMNO" if repetition of letters (a)…

A: Without Repetition : The number of ways to draw a 'r' units from 'N' population of units by using…

Q: How many license plates (using the English alphabet )can be made using 2 or 3 letters followed by 2…

A: A permutation is an arrangement in a definite order of a number of objects taken some or all at a…

Q: There are 3 similar Mathematics books, 2 similar Science books, 4 similar Filipino books, and 3…

A:

Q: There are 4 roads leading from Bluffton to​ Hardeeville, 9 roads leading from Hardeeville to​…

A: Given the number of roads leading from Bluffton to Hardeeville=4 The number of roads leading from…

Q: Who is the president of Nanmac Corporation in Framingham, Massachusetts?

A: Who is the president of Nanmac Corporation in Framingham, Massachusetts?

Q: How many numbers that the thief could try would be accepted as valid?

A: Given that the PIN consists of 4 digits. Note that for each digit, there are 10 possible choices,…

Q: How many different ID cards can be made if you must choose 7 digits followed by 2 letters and any…

A: There are 10 digits  0,1,2,3,4,5,6,7,8,9 There are 26 alphabets A,B,C,D..... Z

Q: A corporate ID number consists of any three numerical digits, followed by any two letters of the…

A: We have to  find the no. Of ways...

Q: How many license plates can be made using either two uppercase English letters followed by four…

A:

Q: 2. Virginia license plates consist of three letters followed by 4 digits. How many different license…

A:

Q: A State's License plates consist of 4 letters followed by 5 digits. How many possible license plates…

A: Number of letters = 4 Number of digits = 5 The letters are followed by digits.

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.