1 2 3 QZ АВС DEF 4 5 6 GHI JKL ΜΟ 7 8 9. PRS TUV WXY a) How many different PINS are represented by the same sequence of keys as 5031? b) At an automatic teller machine, each PIN corresponds to a four-digit numeric sequence. For instance, TWJM corresponds to 8956. How many such numeric sequences contain no repeated digit?

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: Student Identification Numbers at a certain college must have four letters followed by three numbers…

A: Introduction: It is required to calculate the number of ID’s that the college can issue.

Q: each character in a password is either a digit(0-9) or lowercase letter (a-z). how many valid…

A: There is total 10 digits, such that 0, 1, 3, …., 9 and there is total 26 lowercase letters, such…

Q: A combination lock uses 3 numbers, each of which can be 0 to 23. If there are no restrictions on the…

A:

Q: Find a counterexample to show that the following statement is incorrect: "The product of a 2-digit…

A:

Q: an iPhone locks with a 5-digit code. How many codes are possible, if repetition isnot allowed and…

A: Lock of 5 digit code , Repetition is not allowedFirst digit must be 9 Number of codes = ?

Q: Suppose that license plates in a certain municipality come in two forms: two letters (A … Z)…

A: License plates in a certain municipality comes in two forms:two letters followed by two digits or…

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: If a series of license plates is to be prouder that all have the same pattern of three letters…

A: Answer: Total letters=26 Numbers=0 to 9 = 10 Total number of license plates possible with repetition…

Q: Your friend sends a Whatapps message in hexadecimal, but you received it in decimal after being…

A:

Q: Your friend gives you a list of three five-digit numbers, but she only reveals one digit in each: 3…

A: as we have given three five digit number 3 ? ? ? ?? 8 ? ? ? ? ? 2 ? ? claim- check whether we can…

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: To log onto a certain website, they require the customer to create a unique username. The username…

A: We have, The total number of letters=26The total number of digits=10, i.e, (0 to 9). We need to make…

Q: Every Wayne State student has an access id; the 6-character name consisting of 2 letters (a-z)…

A: Students id consists of 6 characters out of which the first two characters are from (a -z) and which…

Q: An identity thief is trying to break into someone's computer that is protected by a 4-digit passcode…

A:

Q: You need to create a four digit code. You can use the digits 0 through 5. The first digit cannot be…

A:

Q: A realtor uses a lockbox to store the keys to a house that is for sale. The access code for the…

A: The total number of digits =10(from 0 to 9) There are 5 digits (1,3,5,7,9) and 5 even digits…

Q: Dat

A:

Q: Equation: Answer:

A: We want to find value of x. For this we use Pythagoras theorem, which states that Hypotenuse2 =…

Q: A website instructs users to create a password using 4​ alphanumeric characters (letters or digits).…

A: We have given that a website instructs users to create a password using 4​ alphanumeric characters…

Q: Suppose we want to form four-digit numbers using the set of digits {0,1, 6, 7, 9}. For example, 9071…

A: The first number can be selected in 4 ways. [ Any number from {1,6,7,9} ] The second number can be…

Q: An IP address can be written as a 32-bit number. For a class B network, the two most significant…

A: Given that : An IP address can be written as a 32 bit number for a class B network the two most…

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: 3) The access code for the safe in my office consists of 4 digits.The first digit must be odd or…

A:

Q: You are asked to create a six character password and each character can be any of the 26 letters of…

A: Given: Number of alphabets=26 Number of numerical 2 through 9=8 Total number of characters, n=34 The…

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

A:

Q: 1. The license plates for cars in Nova Scotia typically have 6 digits. The first three digits are…

A:

Q: A large corporation is concerned with security and identify theft. So, unsteady of using workers…

A: A large corporation is concerned with security and identify theft. So, unsteady of using workers…

Q: how many 7 digit phone numbers can be formed in an area code, if the symbols 0 and 1 can not be used…

A: We consider that each digit is selected independently of the others. The first digit can be any of…

Q: email password consists of two letters followed by three digits. Find the number of passwords…

A: Concept: Given that An email address consists of Two letters followed by three digits.  Since we…

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

A:

Q: A password contains six ​digits, such as 174668. How many different passwords can be​ formed?

A: The objective of this question is to find out the total number of different passwords that can be…

Q: A website instructs users to create a password using 4 alphanumeric characters (letters or digits).…

A: Answer:- We know that,  Total number of letters = 26 (A to Z and Capitalization doesn't matter)…

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

A: Suppose that the repetition of digits is permitted, there are  choices  for each digit in the -digit…

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: To sign-in an account, suppose 0' to 9' numbers and 'A' to 'Z' alphabets with upper case and lower…

A: Total no. of numbers=10 Total no. of alphabets=52 (26 Upper case and 26 lower cases) No. of…

Q: The digits 1, 2, 3 and 4 can be arranged to form different four-digit codes. a. Find the number of…

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.