To use an automated teller machine at a certain bank, you must enter a 6-digit code, using the digits 1-9. How many 6-digit codes are possible if repetition of digits is permitted? There are possible codes.

Q: how many different 5-digit codes can be formed if the first digit must be an odd number, the second…

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Q: How many 5-digit numbers can you make using the digits 1-8 if repetition is allowed?

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Q: A website requires users to set up an account that is password protected. If the password format is…

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Q: How many 10-digit telephone numbers (area code + number) are possible if the first digit cannot be…

A: It is given that the first three digits cannot be 800 or 900 or all the numbers from 000 to 099.…

Q: How many 5 letter "words" can be formed if exactly 2 of the letters are vowels if repetition is…

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

A: Given Information: It is desired to write a 3-digit number using the numbers 2, 3, 4, 5, 6, 7, 8.…

Q: in a certain state, each standard automobile license plate number consist of two letters followed by…

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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: 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: To use an automated teller machine at a certain​ bank, you must enter a 3​-digit ​code, using the…

A: Given information:The number of possible 3-digit code has to be computed where repetition of digits…

Q: To gain access to his account, a customer using an automatic teller machine (ATM) must enter a…

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Q: A combination lock uses 3 numbers, each of which can be 0 to 31. If there are no restrictions on the…

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

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

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Q: To use an automated teller machine at a certain bank, you must enter a 6-digit code, using the…

A: The total 10 digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.

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: How many different five​-letter passwords can be formed from the letters A, B, C, D, E, F, G and H…

A: Permutation rule:From a group of n items, k items can be arranged in ordered ways in,

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: To use an automated teller machine at a certain bank, you must enter a 3-digit code, using the…

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Q: combination lock will open when you select the right choice of three numbers (from 1 to 30,…

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Q: How many different computer passwords are possible if each consists of 7 symbols and if the first 3…

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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: If the letters A, B, C, D, E, and F are to be used in a five-letter code, how many different codes…

A: 6 letter A,B,C,D,E,F We have to make 5 digit code without repetition

Q: How many ways can you have a 6-digit passcode on your phone if you start with a 9 and none of the…

A: We need to find the number of ways to have a 6-digit passcode, given that the first digit is 9 and…

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: How many different four-letter passwords can be formed from the letters A, B, C, D, E, F, G and H if…

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Q: c) A combination lock has 10 different single digit numbers to choose from and make a number with…

A: The number of total digits to choose in the lock are 10. The number of digits used to open the lock…

Q: password contains 2 letters and 2 digits.  How many passwords are possible if repetitions are NOT…

A: The number of letters is 2 and the number of words is 2.

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

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

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Q: Each telephone number in a city consists of 7 digits, the first of which must be 3 or 4. (a) How…

A: HERE TELEPHONE Diary consists of 7 digits, first is either 3 or 4.

Q: How many 5-digit numbers can you make using the digits 1-8 if repetition is allowed? *

A: Introduction: It is required to find the number of possible 5-digit numbers that can be made using…

Q: A briefcase lock opens with the correct 4 digit code. If the digits can be any number from 1-9 with…

A: Given: Digit is from 1 to 9   Unit must be = 3,6,9 that mean 1 of these 3 Other 3 are from 1-8 ,…

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

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Q: 9. in a 5-digit numeric password, how many possible combinations are there if a digit cannot be…

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Q: To use an automated teller machine at a certain bank, you must enter a 4-digit code, using the…

A: Total available numbers = 9 To make 4 digit code

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

A: Topic = Algebra

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: 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: 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: A library has 5000 books, and the librarian wants to encode each using a code- word consisting of 3…

A: Given, A library has 5000 books and the librarian wants to encode each book using a code-word…

Q: A computer password is to consist of three lower case letters followed by two digits. Determine how…

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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: How many different codes are​ available?

A: It is given that the code consists of four digits. The first digit cannot be zero and the last digit…

Q: A lock has a code of 3 numbers between 1 and 10. If no numbers in the code are allowed to repeat,…

A: Answer - A  lock has a code of 3 numbers between 1 and 10. {1, 2, 3, 4, 5, 6, 7, 8, 9,10 }…

Q: To gain access to his account, a customer using an automatic teller machine (ATM) must enter a…

A: We will use basic combinatorics.

Q: To use an automated teller machine at a certain​ bank, you must enter a 5​-digit ​code, using the…

A: You can choose 1st digit in 9 ways.  For each of these 9 ways you can choose 2nd digit in 9 ways as…

Q: To use an automated teller machine at a certain bank, you must enter a 3-digit code, using the…

A: We want to find the number ways to make 3 digit number.

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

A: The given letters are FGHIJKL are have to find the no of three letterwords can be formed if…

Q: To use an automated teller machine at a certain bank, you must enter a 6-digit code, using the…

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