A certain country's postal service currently uses 5-digit postal codes in most areas. How many postal codes are possible if there are no restr on the digits used? How many would be possible if the first number could not be 9? How many postal codes are possible if there are no restrictions on the digits used?

Q: How many possible area codes are there in the United States? (Be sure to remove 411, 800,900, and…

A: The objective is to find the number of possible area codes. Also, need to make sure to avoid 411,…

Q: In a certain country, area codes have four digits and are subject to the following restrictions. The…

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

A: After the restriction on the second digit is removed, the number of area codes, which are possible…

Q: Find the number of ways to put eight different books in five boxes, if no box is allowed to be…

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Q: In order to create a PIN to access your tablet, you have to choose six digits (where your choices…

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Q: A gate has a standard key pad with the digits 0 through 9. How many possible code combinations are…

A: Given : A gate has a standard key pad with the digits 0 through 9 To find : total number of possible…

Q: In the past, a college required students to use a 4 digit PIN (Personal Identification Number) as…

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Q: A four-digit house number contains no zeros. The number has exactly three distinct digits. How many…

A: Permutation: A permutation is an arrangement of numbers in order. It is denoted as Prn . Formula is…

Q: Outside a home, there is an 8-key keypad numbered 1 through 8. The correct five-digit code will open…

A: There are totally 8-key keypad numbers. The correct five-digit code will open the garage door. The…

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: License plate tags in a particular state are to consist of 3 letters followed by 4 digits with…

A: License plate tags in a particular state are to consist of 3 letters followed by 4 digits with…

Q: How many four digits numbers can be made using 1, 2, 3, 4 and 0? Caution: your numbers cannot start…

A: 9

Q: Outside a home, there is a 4-key keypad with letters A, B, C, and D that can be used to open the…

A: Given Outside a home , there is a Keypads with letter= A,B,C,D Number of codes=4

Q: Outside a home, there is a 10-key keypad with letters A, B, C, D, E, F, G, H, I, and J that can be…

A: Given Information: There is a 10 key keypad with letters A, B, C, D, E,F , G, H, I and J To…

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: Arealtor uses a lock box to store the keys to a house that is for sale. The access code for the lock…

A: The access code contains 4 digits          Digits : 0,1,2,3,4,5,6,7,8,9 The first digit can…

Q: A 6-digit phone number cannot start with 0 or 1. Assume that there are no restrictions on the…

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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: 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: Outside a home, there is a 5-key keypad with letters A, B, C, D and, E that can be used to open the…

A: 5 key keypad with letter A,B,C,D,E.the key can be used to open the garage if the correct five-letter…

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: Six math books, four physics books and three chemistry books are arranged on a shelf. How many…

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Q: Some automobiles have 4 button locks. To gain entry, push each of the four buttons, in a particular…

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Q: There are 7 Math books, 4 English books and 6 Filipino books on a shelf. How many ways can you…

A: Permutation: Permutation means finding a number of ways to arrange a specified number of distinct…

Q: Tonya's ZIP code is 24760. How many zip codes altogether could be formed, each one using those same…

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Q: A license plate is to have the following form: three letters followed by three numbers. An example…

A: There are 26 letters (A-Z) and 10 numbers (0-9) We can pick each letter in 26 ways and we can pick…

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 possible area codes are there in the United States? (Be sure to remove 411, 800,900, and…

A: