In one state the license plate “numbers” consist of three numerical digits followed by two upper case letters of the English alphabet (e.g., 880 PQ ). There is one restriction, however: no three-digit number can begin with zero (no 021 or 007’s in that state!). How many different legal license plates are possible in this state?

Q: How many possible area codes are there in the United States? (Be sure to remove 411, 800,900, and…

A: The objective is to find the number of possible area codes. Also, need to make sure to avoid 411,…

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: A seven-character insurance account number must be four lowercase letters of the alphabet followed…

A: The number of lowercase letters in the alphabet is 26.

Q: Until​ 1995, the rules for​ three-digit area codes in the United States were as​ follows:   •The…

A: After the restriction on the second digit is removed, the number of area codes, which are possible…

Q: ow many unique ways are there to arrange the letters in the word PRETTY?

A:

Q: How many (distinguishable) ways are there to rearrange the letters of ILLINOIS?

A: here total letters=8i-3l-2n-1o-1s-1

Q: What are the number of ways a license plate can have 7 distinct letters and digits, that must start…

A: The license plate will have four letters and three digits.The license plate must start with a letter…

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: 21. Bank checks. Determine the check digits for the following bank codes: 0 25 7 1 1 0 8 .

A: The given code is: 0 2 5 7 1 1 0 8 _

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: To enter their home the rouse family enters a 6 character code consisting of 4 letters (uppercase of…

A: We have to find 6 character code consisting of 4 letters (uppercase of lowercase) and 2 digits if…

Q: How many distinct arrangements of the letters in the ( fictitious) word FOOTBALLLERS are possible?

A: Given information- We have given the word FOOTBALLLERS, we have to find the no. of arrangements of…

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

A:

Q: Florida uses three letters followed by three number digits for license plates using all letters in…

A: Given: Florida uses three letters followed by three numbers.  To find: Number of license plates…

Q: Georgia is creating new license plates for 2020. The plate will have 2 letters followed by 6 digits.…

A: There are 26 letters (A-Z) and 10 digits. [0-9]   We can pick each letter in 26 ways.  We can pick…

Q: In what base does 26, +74, = 111,? The base, b, is (Type a whole number.)

A: Given: 26b+74b=111b

Q: How many possible area codes are there in the United States? (Be sure to remove 411, 800,900, and…

A:

Q: Before 1995, area codes for phone numbers had the following format: NNN, where first digit couldn’t…

A: Given that , Before 1995, area codes for phone numbers had the following format: NNN where (1) first…

Q: How many posible 5-digit zip codes exist if the first number must be from 3 and 9, the last number…

A: We have given that 5-digit zip codes exist if the first number must be from 3 and 9, the last number…

Q: In how many ways can a 4-letter code word be formed from the letters of the word CHECKBOOK?

A: Please comment down for any doubt. I hope my answer helps you.

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

A:

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: We usually write numbers in decimal form (or base 10), meaning numbers are composed using 10…

A: The objective is to form the letters asked in the question, using the {0,1,...,9,A,B,...,F}.

Q: Excluding the letters I, O, Q and Z, how many plates registration number can we make if we use…

A: The number of letters in English alphabet = 26Excluding the letters I, O, Q and Z  the number of…

Q: How many different three-number “combinations” are possible on a combination lock having 46 numbers…

A: Given,A lock having 46 numbers on its dial.

Q: A corporate password consists of four digits, followed by three lower-case letters of the alphabet.…

A: The password is 4 digits long followed by three lower-case letters.

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.