A certain country's postal service currently uses 6-digit zip codes in most areas. How many zip codes are possible if there are no restrictions on the digits used? How many would be possible if the first number could not be 3?

Q: A state makes license plates with 3 letters followed by 5 numbers. If repetitions are permitted, how…

A:

Q: About 102 out of every 320 people are left handed. If 3,360 students attend Ben Davis High School,…

A: There are 102 people are left handed in 320 people. Total students in school is 3,360 . We use ratio…

Q: In a certain city in the Philippines, all seven-digit telephone numbers begin with 350. How many…

A: Given :  Number of digits in telephone number = 7 First three digits are 350. Last four digits…

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: Five discrete Math books and four geometry books are to be placed on a shelf. How Many ways can they…

A:

Q: A certain country's postal service currently uses 5 -digit zip codes in most areas. How many zip…

A: From the provided information, A certain country’s postal service currently uses 5-digit zip codes…

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: A combination lock uses 4 numbers, each of which can be 0 to 26. If there are no restrictions on the…

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: A certain country's postal service currently uses 6-digit zip codes in most areas. How many zip…

A: We have given that total 23 question are asked.  First question has 3 answer while remaining 22…

Q: A certain country's postal service currently uses 6-digit zip codes in most areas. How many zip…

A: GivenA certin country's postal service currently uses 6-digit zip codesNo.of digits from 0 -9 = 10

Q: Tonya's ZIP code is 15760. How many zip codes altogether could be​ formed, each one using those same…

A:

Q: A credit card company gives each of its customers a 4-digit PIN where each digit is selected from…

A: Multiplication rule of counting:If a task consists of a sequence of choices in which there are ‘a’…

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: A job interviewer has set 10 questions with four answer options and one correct answer. In how many…

A: The number of ways for two events to occur in a sequence is p×q. Here, p is the number of ways the…

Q: How many eight digit telephone numbers are possible if the first two digits cannot be twos or zeros?

A: To find the number of ways

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: If the population in Germany is 8,000,000 and there are 123,946,567 possible numbers, how many phone…

A: Given Data: The population in Germany is: P=8000000 The total possible numbers is: N=123946567

Q: A combination lock has a dial with 30 numbers from 1 through 30.  How many three-number combinations…

A:

Q: From 1, 3, 5, 7, and 9 how many 4-digit numbers can be formed? Note: each digit can be used only…

A: Given ,5 numbers 1,3,5,7,9 respectively. We need to calculate how many four digits number can be…

Q: There are 58 members on the board of directors for a certain non-profit institution. If they must…

A: Given that,There are 58 members on the board of directors.

Q: Within one area code (for phone numbers), how many possible phone numbers are there? (The first…

A: 1st 2nd 3rd               The first place can be filled in 9 ways by using the digits 1-9 (as…

Q: A combination lock uses 3 numbers, each of which can be 0 to 33. If there are no restrictions on the…

A:

Q: A combination lock uses 4 numbers, each of which can be 0 to 24. If there are no restrictions on the…

A: Given information- We have given that a combination lock uses 4 numbers, each of which can be 0 to…

Q: The gate code at your apartment complex is three numerical digits followed by the “#” sign. If each…

A:

Q: If any nine letters of the 27-letter Spanish alphabet could be used to form a nine-letter word, how…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: The board of directors of a corporation must select a president, a secretary, and a treasurer. In…

A: Consider the number of members is 18. The number of posts is 3. Then, the total number of ways in…

Q: How many different seven-digit telephone numbers can be formed if the first digit cannot be zero?

A:

Q: Certain automobile license plates consist of a sequence of three letters followed by four digits. If…

A: We have a license plate that consists of a sequence of three letters followed by four digits. The…

Q: There are 55 members on the board of directors for a certain non-profit institution. If they must…

A:

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: An overnight express company must include thirteen cities on its route. How many different routes…

A:

Q: A combination lock uses 4 numbers, each of which can be 0 to 36. If there are no restrictions on the…

A: Here, it can be observed that all numbers are independent of each other.

Q: In a league of nine football teams, each team plays every other team in the league exactly once. How…

A: Given football league consisting of 9 teams, each team play each other team exactly once

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

A: Multiplication Rule of Counting:If there are p selections for the 1st option, q selection for the…

Q: Your friend hands you his iPhone and wants you to attempt to unlock it on the first try. How many…

A:

Q: A state makes a license plate with 3 letters followed by 5 numbers. If repetitions are permitted,…

A: To find the different ways in which license plates can be made

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: How many ten-digit telephone numbers are possible if the first three digits must all be different?

A: Given,total no.of digits=10  (0 to 9)

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

A:

Q: Until 1995, the rules for three-digit area codes in the United States were as follows: • The first…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: How many license plates are possible if they consist of 1 digit followed by 1 letter followed by 5…

A:

Q: In a certain state, license plates each consist of 3 letters from the English alphabet, followed by…

A: There are 26 letters (A-Z) in the English alphabet and 10 digits (0-9).   Use the fundamental…

Q: How many license plates are possible consisting of 4 letters followed by 3 digits if the first…

A: The license plate consists of 4 letters followed by 3 digits. Thus, it has 7 places to fill up.…

Q: A certain country's postal service currently uses 5-digit zip codes in most areas. How many zip…

A: If No Restrictions on the digitSince country uses 5-digit codes and the digits are…

Q: A Maryland automobile license plate consists of three letters followed by three numbers.  How many…

A: As per bartleby guidelines only one question should be answered once, please upload each question…

Q: The board of directors of a corporation must select a president, a secretary, and a treasurer. In…

A:

Q: A combination lock uses 4 numbers, each of which can be 0 to 27. If there are no restrictions on the…

A:

Q: In the United States, telephone numbers consist of a three-digit area code followed by a seven-digit…

A: Given problem Given that   In the United States, telephone numbers consist of a three-digit area…