To gain access to his account, a customer using an automatic teller machine (ATM) must enter a four-digit code. If repetition of the same four digits is not allowed (for example 5555), how many possible combinations are there?

Q: A password contains eight digits, such as 17466780. How many different passwords be formed?

A: Here  Password contains 8 digits

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

A:

Q: A password contains eight digits, such as 17466780. How many different passwords can be formed?

A: no.of digits(0 to 9)=10

Q: If a phone company sends a random 6-digit number to customers to activate their phone, how many…

A: Consider a problem in which there are n vacant inline spots, each spot is to be filled by any of the…

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

A:

Q: The access code of a security system consists of nine digits. How many different codes are avaliable…

A: Given : The access code of a security system consists of nine digits.

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

A:

Q: A combination lock uses 4 numbers, each of which can be 0 to 29. If there are no restrictions on the…

A: Answer:----.              Date:----6/10/2021 TOPIC:Combinatorics. Here, no restrictions on the…

Q: A company wants to have 6-digit phone extensions with the first digit not being zero. How many…

A: Given, No. of digit in phone extension = 6 First no- cannot be  0 Therefore no. of ways it can be…

Q: In a certain state, each automobile license plate number consists of two letters followed by a…

A: There are 24 choices for each letter. (this explanation was already shown in the image you shared)…

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: 4. If each Automated Teller Machine card of a certain bank has to have four different digits in its…

A: Answer is mentioned below

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

A:

Q: 1. Blacklist International has 10 posters waiting to be displayed at the lobby of Tier One…

A: Here Given  Total No of poster to be Displayed=10 No of days for display without repetition=45 X= No…

Q: If every telephone in the world is assigned a number that contains a country code 1 to 3 digits…

A: The telephone number has a country code first, followed by 12 digit telephone number of the form…

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: If cell A1 contains 55 and cell B1 contains 11, which entry into cell C1 results in 66?

A: A1=55 B1=11

Q: Suppose that you have a combination lock that uses letters instead of numbers for its combination,…

A: Solution: The total number of letters is 26 and the lock will be opened with four letters and…

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

A:

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: A combination lock uses 3 numbers, each of which can be 0 to 38. If there are no restrictions on the…

A:

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 typical Social Security number is 555-47-5593. How many Social Security numbers are possible if…

A: Given that  A typical Social Security number is 555-47-5593 The above social security number denotes…

Q: How many passwords of length 4 can we construct using the 26 letters of the English alphabet, If…

A: Total 26 alphabet 4 has to select

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: Suppose you need to enter a 4 digit code to enter a room. (a) Does the order matter? Why? (b) How…

A: Given, Suppose you need to enter a 4 digit code to enter a room. a) Yes, here order matters. Since,…

Q: A five character computer password can be formed from three digits, followed by two lower case…

A: There are totally 26 lower case letters of the alphabets(a-z) and 10 digits (0-9). A five character…

Q: How many four digit codes can be made out of the digits 0,2,4and 8 if the repetition of digits is…

A: We have to find four digit codes can be made out of the digits 0,2,4and 8 ....

Q: A large corporation is concerned with security and identity theft.  So, instead of using workers’…

A: The number of alphabets to choose from is 26 i.e. A to Z, and the number of digits to choose from…

Q: How many different ways a 4- digit code can be made if no digit can be used more than once

A: Four digit code are We need to form 4-digit code using  0,1,2,3,4,5,6,7,8,9 digits. The number of…

Q: How many 7-digit ID numbers can be formed if each number starts with 19 and no digit appears more…

A: Solution-: How many 7-digit ID numbers can be drawn formed if each number starts with 19 and no…

Q: A lock uses the letters A through H on the first dial and the digits 0 through 9 on the second and…

A:

Q: A social security number has 3 digits, then 2 digits, then 4 digits.  If the first 3 digits can’t be…

A: To determine: Different possible cards can be made. Given data: A social security number has 3…

Q: A lock uses 3 numbers as an unlock code, each of which can be 0 to 19.  If there are no restrictions…

A: Given: 3 numbers to unlock the lock.

Q: Suppose a certain combination lock requires three selections of numbers, each from 1 through 20.…

A: a) For each number we have 20 choices. Each position is independent of other positions  So by…

Q: If a single card is drawn from a standard​ 52-card deck, in how many ways can a card other than a…

A: Given data: A standard​ 52-card deck

Q: From the digits 0, 1, 2, 3, 4, and 5, how many 3-digit numbers can be formed if digits may be…

A:

Q: How many possible iPhone lock combinations are there between all 6-digit and 4-digit pass codes…

A: Use concept of combinations, as follows: 4 digit passcode has 4 places for digits Each of them can…

Q: Television and radio stations use four call letters starting with W or​ K, such as WXYZ or KRLD.…

A: the total number of alphabets between A to P is 16.

Q: Each employee at a large company is to be issued a computer ID code that consists of three letters…

A: If we have to fill n boxes with no repetition with n objects then then there are…

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 large corporation is concerned with security and identity theft.  So, instead of using workers’…

A: Topic = Permutation and combination

Q: A witness to a hit-and-run accident tells the police that the license plate of the car in the…

A: The first letter has only one(A) chance, the second letter has 26 ways, the third letter has 26…

Q: A natural number greater than 1 that is divisible by a number other than itself and 1 is called a/an…

A:

Q: Given the following digits: 2, 3, 5, 6, 7, 9, a. How many 3-digit number combinations can be made…

A: Given digits:-  2, 3, 5, 6, 7, 9 we have to calculate the followings:- a) How many 3 digit number…

Q: This lock has a 3-digit code. Can you crack it using only these hints?

A: Given,

Q: How many different ID cards can be made if there are 6 digits on a card and no digur can be used…

A: Given: Number of digits = 6 No digits is used more than once.

Q: A large corporation has found that it has “outgrown” its current code system for routing inter…

A: The problem is concerned with counting the total number of codes available in the current (old) and…

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

A: