Some automobiles have four-button locks. To gain entry, push each of the four buttons, in a particular order, to unlock the door. How many different five-digit codes are possible?

Q: The local​ seven-digit telephone numbers in city A have 480 as the first three digits. How many…

A: Given, the local seven-digit telephone numbers in city A have 480 as the first three digits. There…

Q: In the United States, zip copes are 5 digits. If each digit can be any integer from 0 to 9, how many…

A:

Q: How many different license plates can be made if each is to display 3 numbers and 3 letters?

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

Q: It is desired to write a 3-digit number using the numbers 2, 3, 4, 5, 6, 7, 8. If each number is…

A: Given data: The total numbers are n=7. Case-1 The total 3 digits numbers that can be formed from the…

Q: The 25 staff members of an office decide to hold a Kris Kringle to celebrate the holidays and draw…

A: Given Information: There are 25 staff members out of which 4 staff members draw their own names.

Q: How many four-digit numbers have "9 before g"?

A: Suppose x4x3x2x1 be a four digit number. Therefore x4≠0. To find number of four digit numbers which…

Q: Entrance codes at Harvard require four numbers, which may be 0 thru 9 and may be repeated. How many…

A:

Q: How many different 4 letter radio station call letters can be formed if the first letter must be W…

A: It is given that, there are for letters and first letter must be W or K.Thus, there are 2…

Q: Lucy was born on 9/29/1992. How many eight-digit codes could she make using the digits in her…

A:

Q: ONLY FILL IN THE NUMERICAL VALUE OF THE ANSWER. How many posible combinations of 7 elements van be…

A:

Q: The 14 teams in the local Little League are listed in the newspaper. How many listings are possible?

A: In this case, there are 14 teams in the local little league.

Q: When dialing a friend's phone number, a person forgot the last four digits, and only remembers that…

A: The last four places can be taken by any number from 0 to 9. Now, two places have same number.

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

A:

Q: Answer the following question. How many license plates are possible if you must have 8 characters,…

A: One of the methods of counting in a problem is the fundamental counting principle. The fundamental…

Q: How many computer passwords can be formed by rearranging the letters in the word "AARDVARCK’?

A:

Q: The number of arrangements of the letters of the word WASHINGTON, if the ASH must be together in any…

A: In this question we have to find Arrangement of word WASHINGTON and ASH always comes together.

Q: Find the number of different ways in which 3 flags can be displayed on a flagpole, one above the…

A:

Q: Form an eleven-letter word by mixing the letters in the word ABRACADABRA. a) In how many ways can…

A: Given word is ABRACADABRA To determine the number of ways an 11-letter word can be formed by mixing…

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

A:

Q: Melchizedek needs to make a password for his savings account. The password has to be 5 characters…

A: The permutation with repetition of objects can be written using the exponent form. When the number…

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: From the letters a, b, c, d, and e, how many four-letter groups can be formed if each letter can be…

A:

Q: Determine the number of combinations that can be formed with 11 objects taken 7 at a time

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Q: form a 4-digit number from the digits 1, 2, 4, 7, and 8, using each at most once. How many…

A: 1, 2, 4, 7 and 8. To find the number of four digit numbers, we find the number of permutations of 5…

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

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: ou are to form a 4-digit number from the digits 1, 2, 3, 4, 6, and 8, using each at most once. How…

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: 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: Most ATMS require that you enter a four-digit code, using the digits 0 to 9. How many four-digit…

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

Q: How many three-letter codes can be made from the letter of the word LOCKED if the first and the last…

A: The number of letters required to make a code is 3. The word from which code should be made is…

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: Entrance codes at AWC require four numbers, which may be 0 thru 9 and may be repeated. How many key…

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

Q: In a certain state, license plates each consist of 2 letters followed by 3 digits. How many…

A:

Q: Jamal is creating a 5 digit passcode using the digits 0 through 9. How many 5 digit passcodes are…

A:

Q: If Mahmood has 24 cars in his company and every year he adds 6 cars, then how many cars will he own…

A: 22) If Mahmood has 24 cars in his company and every year he adds 6 cars, then how many cars will he…

Q: Until recently, all area codes had a 0 or a 1 as the middle digit and the first digit could not be 0…

A: Given The middle digits of the area code are  0 and 1 The first digit of the area code could not be…

Q: Ahmed must choose a seven-digit PIN number and each digit can be chosen from 0 to 9. How many…

A: We have to find no. of possible pins.

Q: A combination lock will open when you select the right choice of four numbers (from 1 to 45,…

A: Topic = Algebra

Q: The school's new computer network requires each used to create a password. How many passwords are…

A: GivenThe school's new computer network requires each used to create apassword using one letter…

Q: A lock uses 3 numbers as an unlock code, each of which can be 0 to 40. If there are no restrictions…

A: From 0 to 40, there are 41 integers.  Since there are no restrictions  so we can pick the first…

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

A:

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

A: There are 26 capital letters and 10 digits. The first letter has only one way, second letter have 26…

Q: Classify the given statement as true or false ( picture)

A: We have to classify the statement is true or false: If a number is divisible by 6, then it is…

Q: Find the number of ways to arrange the following 9 books on a shelf: 2 identical Math books, 4…

A: Given, total no of books = 9 Math books = 2 (Identical) Physics books = 4 (Different) Chemistry…

Q: The library labels each book with a five-digit code to identify the book in their computer system.…

A:

Q: From 1, 3, 5, 7, and 9 how many 3-digit numbers can be formed? Note: digits can be repeated

A: Given digits,1, 3, 5, 7, 9

Q: Luiza has 10 different keys. In how many ways can she arrange the keys in a key chain?

A: luiza has 10 different keys .in how many ways can she arrange the keys in a key chain?

Q: James is choosing a Four-digit Passcode for his smartphone. How many different Passcodes are…

A:

Q: How many different four-letter radio station call letters can be formed if the first letter must be…

A: We have to form different four-letter radio station call letters with condition that first letter…

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.