a) Count the number of distinct phone numbers, if a valid phone number must have the format NXX-NXX-XXXX where N can be any integer between 3 and 8 inclusive, and X can be any integer between 0 and 9 inclusive. b) How many bit strings of length 20 begin with 11 and end with 00?

Q: How many different possible area codes are there if an area code is 3 digits long and cannot contain…

A: From the provided information, An area code is 3 digits long and cannot contain a 0 or have 1 or 9…

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: Suppose the Department of Motor Vehicles uses six digits and the numbers 0 through 9 to create its…

A: Solution.

Q: Let f ={ (-6,4),(-5,3),(4,-6),(3,-5),(1,5),(2,6),(-3,5),(-8,2),(6,4)}  g=…

A: It is known that f-gx=f(x)-g(x) and f·gx=f(x)·g(x). The sets are provided as:…

Q: A four-bit code word is any sequence of four digits, where each digit is either a 0 or a 1. For…

A: Here we have to form A Four bit code word of four digits using the digit 0 and 1

Q: How many 10-bit strings are there if the string must start with 001 or 10?

A: By using the given information the solution is given as follows

Q: Determine the number of six-character passwords that can be formed using two letters from A to F and…

A: From A to F there are 6 letters. We can pick 2 letters from 6 letters in 6C2=15 waysIn 1 to 9 there…

Q: How many unique codes are possibly formed from two characters, where the first character can be 2 to…

A:

Q: Suppose that a password is exactly six characters and each character is 1 of the 26 lowercase…

A: The number of lowercase letters is 26 and the number of integers is 10.

Q: How many odd integers from 1,000 through 9,999 have distinct digits?

A: From 1000 to 9999 , all are 4 digited integers.  If the integer is odd then the last digit can occur…

Q: About how many bits would you need to represent it in binary

A: To determine the number of bits required to represent a positive integer N in binary representation

Q: Each character in a password of length six can be any uppercase letter from A-Z or any symbol from…

A:

Q: How many different possible area codes are there if an area code is 3 digits long and cannot contain…

A: Sol:- If an area code is 3 digits long and cannot contain a 0, 1, or 9, then each digit can be…

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: There is a partial insurance policy that pays $80,000 upon the bad drought state (and $0 in the…

A:

Q: A computer password is required to be 5 characters long. How many passwords are possible if the…

A: Given dataa computer password is required to be 5 cgaracters longThe password requires 2 letters…

Q: identify all natural numbers having exactly 28 divisors.

A:

Q: A certain website wants you to build a 6-character password from the letters a through i, the…

A: Given: The letters will be selected from a through i. Thus, there are a total of 9 letters from a…

Q: How many 12-bit strings start with 101 or end with 10 or both?

A: Here the 12-vit string is the string of length 12. And to find the number of specific types of…

Q: How many three digit passcode can be made from the digits 0-9in the first number is not allowed to…

A:

Q: A passcode contains four digits from the digits 0-9. How many different passcodes can be made if no…

A:

Q: Each character in a password is either a digit [0-9] or lowercase letter [a-z]. How many valid…

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

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…