I have a message 2,3,6,5 (mod.7),  I will find a check digit by multiplying the first and third digit by 2 and the second and fourth by3 adding the results and finding a number to make the sum a multiple of 7. What is the number I should add?

Q: Verify the following facts about Fibonacci number: If we make a list of any four consecutive…

A: Here the two different four number list of Fibonacci  number with the property.

Q: Suppose a mail carrier must deliver 10 different letters, one to each house on the same street. The…

A: The formula of permutation is: Given: n=10   The required arrangements is calculated as: At least…

Q: How many 3 or 4 digit even numbers greater than 700 can be formed by: a. Using the digits 0-9.…

A: EVEN NUMBERS : Even numbers embrace people who conclude in zero,2,4,6, and 8. Even numbers, as an…

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

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Q: 4, and 6 if no digit is repeated in any number? a. b. repetitions are allowed?

A: We have to find the number of two digit numbers.

Q: The set {1,2,3,4} under multiplication modulo 5.

A:

Q: A department store wants to send codes for $15 off a $75 purchase to the subscribers of its e-mail…

A: Given Information:  There are 23 letters to be used and 10 digits to be used to create a code To…

Q: (-130 mod 20·265 mod 20) mod 20 ?

A:

Q: How many strings of four decimal digits a) do not contain the same digit twice? b) end with an even…

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Q: The digits 0, 1, 2, 3, 4, 5, 6 and 7 are used to make 4 digit codes. (a) How many unique codes are…

A: As per Bartleby guideline, if more than three subparts are asked only first three to be answered…

Q: How many three digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, 6 and 7 such that the…

A: To form a 3 digit number, we start we can not place 0 on hundreds position since that will make it a…

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: If 19 7 (mod 6) and 27 =3 (mod 6) then 19x27 =7+3 (mod 6) 19+27 7-3 (mod 6) 19+27 7x 3 (mod 6) 19+27…

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Q: Each student at State College has a student I.D. number consisting of 5 digits (the first digit is…

A: Given: Student ID consists of 5 digits and 3 letters. It means that total characters in student ID…

Q: If 19 7 (mod 6) and 27 = 3 (mod 6) then 19+27 7- 3 (mod 6) 19+27 = 7+ 3 (mod 6) 19x 27 7+ 3 (mod 6)…

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Q: how many 5 letter codes can be made  this time if the letter "b" must be the first letter of the…

A: Let the original 7 letters are given as (a, b, c, d, e, f, g). Here, 5 letter code is to form from…

Q: Find  mod (40, 7) and div (40, 7).   mod(40, 7)=? div(40, 7)=?

A: 1) mod(40,7)  is the remainder when 40 is divided by 7we know that 7×5 =35  and 7×6=42as 7×6=42 is…

Q: A license plate has the form YYY-MATH, in which Y is a digit from 1-9, M has to be the number 5, A…

A: First we will find the number of choices for each then multiplying those choices will give us How…

Q: where _13-4 mod 13

A:

Q: The location of 1.68 on the number line is between hash marks 1.6 and 1.7, and it is closer to 1.7.…

A: Part(1): (a). The location of 0.79 is between    0.7            and     0.8        the hash mark…

Q: What is 2 ^32 mod (5)?

A: mod is the function whose output is always positive. mod is represented by .

Q: The inverse of 3 modulo 7is -2

A: Given statement, The inverse of 3 modulo 7 is -2.

Q: A briefcase lock opens with the correct 4 digit code. If the digits can be any number from 1-9 with…

A: Given: Digit is from 1 to 9   Unit must be = 3,6,9 that mean 1 of these 3 Other 3 are from 1-8 ,…

Q: 8. How many positive divisors does 2000= (2^4)(5^3) have?

A: Note: Hey there! Thank you for the question. As you have posted multiple independent questions, we…

Q: determine what number the sum is congruent to in mod 3, 6+4 = __ (mod 3)

A: First we add the numbers, then check for the remainder on dividing the result by 3 and that will be…

Q: Which pairs of the integers -11, -8, -7, -1, 0, 3, and 17 are congruent modulo 7?

A: -11≡3 (mod 7) holds  Since -11-3 = -14 is divisible by 7 and leaves remainder 0. -7≡ 0 (mod 7)…

Q: Motorcycle license plates in the state of California start with two digits(0–9), followed by one…

A: There are a total of 6 digits and one letter on the license plate and repetition is not allowed.…

Q: How many three digit numbers can be formed from the digits 0,1,2,3,4,5,6,7,8 and 9 such that the…

A: Given numbers are, 0,1,2,3,4,5,6,7,8 and 9 Total numbers are 10 We have to calculate the number of…

Q: A number with 4 digits is formed from the digits 0, 3, 6, 7, 9 without repetition. How many numbers…

A: Total numbers = 5 Since the 6 and 7 are placed next to each other consider them as a single number.…

Q: Find  mod (59, 10) and div (59, 10).

A:

Q: How many ways are there to list the digits 1, 1, 2, 2, 3, 4, 5 so that the digit 3 and 4 are not in…

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Q: assume that you are trying to transmit a secret code using 3 letter words. if only 5 letters of the…

A: Given only 5 letters of the alphabet can be usedNO.of alphabets =5No.of words should be in secret…

Q: If 19 =7 (mod 6) and 27 =3 (mod 6) then 19x 27 = 7+3 (mod 6) 19+27 = 7+3 (mod 6) 19+27 =7x 3 (mod 6)…

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Q: A carton of 15 light bulbs contains one that is defec-tive. In how many ways can an inspector choose…

A:

Q: n how many distinct ways can the digits in the number 1,243,520,326 be arranged? (If there are any…

A: Given number 1,243,520,326 Total number of digits=10 Number of 1's=1 Number of 2's=3 Number of 3's=2…

Q: How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 0, which are divisible by 5…

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Q: If 3x = 6 mod 9, when -2 <x< 8. Then O x=(-1, 3, 5} x=(-1, 2, 5} O x=(-1, 2, 3} O x=(-1, 5, 6}

A:

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

A: We have to find four digit codes can be made out of the digits 0,2,4and 8 ....

Q: Find a number that is less than 1740719 which is congruent to 577 modulo 1279 and congruent to 317…

A: Given, a number that is less than 1740719 which is congruent to 577 modulo 1279 and congruent to 317…

Q: How many ways are there to permute the elements of the multiset {1,1,2,2,3,4,5,6} so the first and…

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Q: If 3x = 6 mod 9, when -2 < x< 8. Then O x={-1, 3, 5} x-1, 2, 5} O x=(-1, 2, 3} O x=(-1, 5, 6}

A:

Q: How many three-digit numbers can be formed using the digits 2,3,4,5,6,and 8, if the number is to be…

A: Given:  The provided digits are 2, 3, 4, 5, 6, and 8. The repetition of digits is not allowed. For a…

Q: How many 4-digit codes can be formed from the digits 1,3,5,7, and 9 if repetition of digits is not…

A:

Q: Find the mod value AS US fi LL UL 10 - 23 25 4 O A) 28,0 26 28 11 29 31 O B) 26,9 32 34 7 C) 27,6 O…

A: Given : LL UL fi 23 25 4 26 28 11 29 31 5 32 34 7 Mode = ?

Q: number in Z+is written on the back of each of three cards. The numbers are not necessarily different…

A: This is a puzzle and we will solve using the concept of  basic maths

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: 8. a = 20 (mod 31) and -15 s as 15.

A: As per the guidelines I am supposed to answer the first question only . For the other questions…

Q: How many two-digit numbers can be formed using the digits from {2, 4, 6} if the following is true.…

A: Given: The digits are {2, 4, 6} Number of ways to form two-digit number without repetition…

Q: how many different license plates can be created of the form XXX - YYYY if the first three aracters…

A: From 1 to 9 there are 9 digits.  So in the first three positions, we can enter each digit in 9 ways.…