How many phone numbers are possible in the (404) area code of the form ABC-XXXX if: A is restricted to 2-9 and B, C, and X can be any number 0-9

Q: Assume that product codes are formed from the letters V, S, and Q, and consist of 4 not necessarily…

A: 1). For 4 letter product code to be arranged with the letters V, S and Q, the first position is…

Q: How many five-letter passwords can be formed from the letters {A, B, J, K, X, Z} under the following…

A: Given letters {A,B,J,K,X,Y}   a)Number of 5-letter word with repetition is =6×6×6×6×6=7776 ways

Q: 1)a) How many 3 digits passcodes are there if first digit must be a 1 or 2 ?   b) How many 3…

A: The possible number for passcode is as follows: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 a) if the first digit…

Q: Telephone area codes are three-digit numbers of the form XXX. Originally, the first and third…

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Q: How many phone numbers are possible in the (770) area code for the form ABC-XXXX if: A is restricted…

A: Here,the phone  number  is in the form ABC-XXXX. Given that A is restricted  to 1-9, that is we can…

Q: How many ways are there to choose two subsets A and B of [n] so that A ⊆ B, and |B| is even

A: Using logic of sets and subsets we will solve the problem. Using facts we will find a solution to…

Q: A lock code requires 3 digits followed by 2 letter(s). How many different lock codes are possible?…

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Q: [Q1] From the letters {A, B, C, D, E, F, G}, how many: (a) 3-distinct-letters codes can be…

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Q: How many different passwords are there that contain only digits and lower-case letters and satisfy…

A: Given, no. of digtis = 10  (0 to 9) no. of letters = 26  (a to z) Total = 36 (iii) Password must…

Q: In how many ways can you orient the letters in the word "APPLICATION" such that A's don't sit next…

A: consider in 'APPLICATION " two A's sit together . in 'APPLICATION " n(A)=2, n(P)=2 n(L)=1 n(I)=2…

Q: a mulitiset is a collection of objects, just like a set, but can contain an object more than once.…

A: Image is attached with detailed explanation.

Q: 2. Let, a, = 3, az = 4 and for n2 3, a, = 2a,-1 + an-2 + 5, express a, in terms of n.

A: Introduction: The disparities between every two successive terms in an arithmetic progression (AP)…

Q: Assume that product codes are formed from the letters A, B, C, D, and E, and consist of 5 not…

A: Product code is formed by the letters A, B, C, D, and E and consists of 5 not necessarily distinct…

Q: 13. How many 3-digit numbers can be formed using digits from {1,2,3,4,5} if repeated digits are not…

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Q: How many different 3 letter codes can I make that do not contain any repeated letters

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Q: ash” so that neither the

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

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Q: 2. Let, a, = 3, az = 4 and for n 2 3, a, = 2a,-1 + an-2+ 5, express a, in terms of n.

A: Topic:- series sum

Q: How many different ways can a club of 25 members fill the positions of president, vice president and…

A: Given: The positions to be filled by the club members are president, vice president, and Secretary.…

Q: How many ways can you have a 6-digit passcode on your phone if you start with a 9 and none of the…

A: We need to find the number of ways to have a 6-digit passcode, given that the first digit is 9 and…

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

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Q: Consider five-digit numbers  = a1 a2 a3 a4 a5, with each digit from the set {1, 2, 3, 4}. a. How…

A: Solution is given as below:

Q: There are m months in a year, w weeks in a month and d days in a week.How many days are there in a…

A: Number of days in 1 week = d Number of days in w weeks = d×w…

Q: a. A fleet of sixteen taxis is to be dispatched to three airports in such a way that three go to…

A: here AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION , AS YOU POSTED A AND B TOTALLY…

Q: A seven-character computer password can be any three letters of the alphabet, followed by two…

A: Given, A seven-character computer password can be any three letters of the alphabet, followed by two…

Q: A) How many integers, greater than or equal to10000 but less than or equal to 39999, can be formed…

A: Note :- We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Assume a country has 3-digit area codes that all have 0 or 1 as the middle digit, do not have 0 or 1…

A: Hi! Thank you for the question As per the honor code, We’ll answer the first question since the…

Q: Refer to a set of five distinct history books, three distinct biology books, and two distinct…

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Q: 1)How many integers between 1000 and 2000 are divisible by at least one of the integers 3, 5 and 7?

A: Introduction: In mathematics, integers are the sum of positive and negative numbers. Integers are…

Q: How many 5-digit license plate numbers can we generate from the numbers, 0, 1, 2, 3, and 4 if it…

A: As per the company policy i can answer only first question for you,more than that leads me towards…

Q: How many subsets of set S = {1, 2, 3, 4, 6} do not contain odd numbers? Use bijection to solve this…

A: Solution S={1,2,3,4,6}

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

A: It was stated that each character in a password is either a digit [0-9] or lowercase letter [a-z].…

Q: From the letters {A, B, C, D, E, F. G}, how :many 3-distinct-letters codes can be (a) generated? (b)…

A: a) 7C3 distinct codes can be generated by {A,B,C,D,E,F,G} which is equal to 21

Q: How many 98-element subsets does [100] have? (Here [100] is the set consisting of the first 100…

A: Given: Let us consider n be the number of elements in the set and r be the elements-subsets. Then, n…

Q: 4.The set of integers from 1 to 10 that is divisible by 3.

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Q: 2. At a certain company, access codes nust pe 4 composed of the 26 lower case letters of the…

A: Let           A=Access codes 4 to 6 symbolsA1=Access codes with 4 symbolsA2=Access codes with 5…

Q: [Q1] From the letters {A, B, C, D, E, F, G}, how many: (a) 3-distinct-letters co can be generated?…

A: Given: There are 7 letters A, B, C, D, E, F, G

Q: Find out how many distinct three-digit numbers can be formed using al the digits of 1, 2, and 3. * O…

A: To find  Number of distinct three digit numbers can be formed using all the digits 1,2 and 3.

Q: 7. How many four-digit codes can be made out of the digits 0, 2, 4, 6, and 8 if repetition of digits…

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: How many integers, greater than or equal to10000 but less than or equal to 39999, can be formed with…

A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…

Q: How many five-digit numbers are there for which each digit is either equal to both adjacent ones, or…

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Q: How many numbers from 1-999 have: 1) all three digits the same? (assume that "1" is represented as…

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Q: 3. How many different license plates are possible if a state uses (a) Two letters followed by a…

A: (a).We have  (0,1,2,...,9) 10 digits , and 26  letters (A,B,C,.....,Z). Repetitions of digits and…

Q: How many integers from 1 to 500 are divisible by at least one of  the numbers 3, 4, 5?

A: Given :  Integers from 1 to 500 Total numbers  = 500 So to calculate the number of divisors, we will…

Q: 6. Suppose you need to enter a 4 digit code to enter a room. (a) How many such codes exists if…

A: Question: Suppose you need to enter a 4-digit code to enter a room, find (a) the number of codes in…

Q: -Each student at State University has a student ID number consisting of five digits (the first digit…

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Q: 11. How many phone numbers are possible in the (404) area code of the form ABC-XXXX if: A is…

A: there are 8  digits from 2-9.  Therefore, A can be chosen in 8 ways. For B there are 10 choices…

Q: Let A be the set of five-digit numbers where only the digits 1, 2 and 3 are included. For example…

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

A: Total number of possible digit [0-9] = 10 Total number of possible lowercase letters [a-z] = 26 It…