Assuming that there will never be more than 500 million people in the United States before the year 2050 A.D., how many alphanumeric-upper symbols are necessary to provide every person with a personal 'zip code'?

Q: How many different initials can someone have if a person has at least two, but no more than five,…

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Q: How many different phone numbers are possible in the area code 503, if the first number cannot start…

A: There are 10 numbers from 0 to 9. After the area code 503, there are 7 numbers. There are 8 other…

Q: Suppose that a password for a computer system must have at least 6, but no more than 9 characters,…

A: Given,  a password for a computer system must have at least 6, but no more than 9 characters, where…

Q: In the original plan for area codes in 1945, the first digit could be any number from 2 through 9,…

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Q: How many distinct scrambles (re-arrangements of the letters) of the word moximum. are there?

A: See the detailed solution below.

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

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Q: A passcode is to be created from 2 letters, 2 digits, and 2 special characters (consisting of ?,!,…

A: Combination only includes number of ways of selection whereas, permutation includes number of ways…

Q: Allowing (or requiring) users to use numerical digits (including 0) and one of 28 “special…

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Q: 2) Allowing (or requiring) users to use numerical digits (including 0) and one of 31 "special…

A: Introduction: Considering the lower- and upper-case alphabets to be two different characters, total…

Q: How many distinct 9-letter words starting with “i” can be formed from the word “committee”?

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Q: An island is considering adding another character to their vehicle license plates in order to…

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Q: How many unique ways are there to arrange the letters in the word eminem?

A: The given word is "eminem". In this word, there are 6 letters and the letter "e" and "m" are…

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: If a U.S. Postal Service money order is numbered 1012065994?, where ? indicates that the last digit…

A: Procedure to check missing digit or USPS money order :    1. Add first 10 digits of 11-digit number.…

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: A social security number contains nine digits, such as 010-34-3709. How many different social…

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Q: Question 26

A: Solution: 26. Combination: If there are n objects in order to select r objects combinations should…

Q: In how many ways can ten different keys be arranged in a key chain if there are two sets of three…

A: here given,  there are total 10 keys arranged in key chain

Q: In Cavite, there is a certain breed of cat which has its first kitten on its second birthday and…

A: Consider the given information, So, we have, Number of kitten in 2006 is equal to 1. Number of…

Q: On February 20, 2004, the Ohio Bureau of Motor Vehiclesunveiled the state’s new license plate…

A: The license  plate contains 3 letters from A to Z followed by 4 digits from 0 to 9. Now all the…

Q: How many different three-letter codes can be made from the letters {a,b,c,d,e}? How many of them…

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Q: Assuming that any arrangement of letters forms a 'word', how many 'words' of any length can be…

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Q: is 3 +, 20- 37 1 (-1)" n=0 years old. How old am 1?

A: Given the age of the person is 3+∑n=0∞20(-1)n3n-1 years old. Evaluation of summation term:…

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

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Q: For a population containing N=903​ individuals, what code number would be assigned for a. the…

A: Given N=903

Q: 80. Social Security numbers assigned in the United States are comprised of 9 digits of the form be…

A: Evaluate the number of ways in which 9-digit numbers can be formed out of 10 numbers and repetition…

Q: How many different initials can someone have if a per son has at least two, but no more than five,…

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Q: A social security number contains nine digits such as 074-66-7795. How many different social…

A: The social security number contains nine digits. The digits are choosen from the set {0, 1, 2, 3, 4,…

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

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Q: A computer system allows user IDs that are six characters long. If only alphanumeric characters are…

A: We have a computer system that allows user IDs which are six characters long,And, there is only…

Q: In one state the license plate “numbers” consist of three numerical digits followed by two upper…

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

Q: Suppose that in a certain state, all automobile license plates have three uppercase letters followed…

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Q: The number is: $9,612.9539 Remember that when rounding to any whole number place value (ones, tens,…

A: Since, the number to the question is not specified, we'll be solving the first question only. Please…

Q: How many different​ three-digit numbers can be formed using the digits 4, 5, 2, and 8 with​…

A: The given digits 4,5,2,8.  and repetition allowed

Q: 3. Suppose a landline number contains 5 digits. How many different landline numbers can be made with…

A: As per Bartleby guideline expert have to answer first question only..

Q: Suppose that a password for a locked door must have at least 8 characters, where each character in…

A: It is given that password can be a lowercase English letter, an uppercase English letter or a digit.…

Q: How many seven-digit phone numbers can begin with the prefix 827?

A: The seven digit phone numbers can be made by filling the blank spaces in 827_ _ _ _ .We can fill…

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: How many different four​-letter ​"words" can be formed from the alphabet ABCD

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Q: San Jac must assign a new employee a 7 digit phone number, but the first three digits must be 526.…

A: In 7 digit phone number 3 digits are given. So (7-3)=4 digits we have to fill. There are 10 numbers…

Q: 31. b. ii. Detemine the four-digits numbers, with distinct digits, which is livisible by 5, that can…

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Q: How many 4​-letter code symbols can be formed from the letters from the word PODS without​…

A: Given words is"PODS"No.of letters in word "PODS" = 4

Q: How many 5​-letter code words can be formed using a 27​-letter ​alphabet? ​(a) if repetition is​…

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Q: A bank password consists of SIX (6) letters of the Roman characters (small and capital letters)…

A: We need to determine the number of different passwords possible using the letters of Roman…

Q: 5. How many license plates can be made using either two or three uppercase English letters followed…

A: The following information has been provided: The total number of uppercase English letters=26 The…

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: A computer system allows user IDs that are six characters long. If only alphanumeric characters are…

A: According to the provided data, the user IDs are six, r characters long. The alphanumeric characters…

Q: A license plate is to consist of 3 digits followed by 5 uppercase letters. Determine the number of…

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