what are ALL the six-digit numbers of the form 47_8_6 that are divisible by 24?

Q: If you want to check that 613 is a prime number using the test for primality, what is the minimum…

A: Given number is : 613 To find what is the minimum amount of number must divide into 613 to check…

Q: How many permutations of letters MNPQRSTUV will contain substrings PQ and QTS in it?

A: Given that MNPQRSTUV will contain substrings PQ and QTS in it.

Q: 3. Find the number of distinct permutations that can be formed your ID number.

A:

Q: How many positive integers between 500 and 999 inclusive are not divisible by 5?

A: For this problem, we must recall that to calculate the number of integers in a range of values that…

Q: How many integers between 0 and 500: 1. Have distinct digits? 2. Are divisible by 3? 3. Are…

A: We will answer the first three subparts as per our guideline. Please resubmit the other subparts…

Q: Compute the sum of the first 60 positive integers that are exactly divisible by 4.

A: The numbers divisible by 4 is:

Q: Determine the number of natural numbers less than 700 that can be written using the digtits 5,6,7,9?

A:

Q: The number of integers between 1 and 500 (both inclusive) that are divisible by 3 or 5 or 7 is

A:

Q: Determine the number of integers between 1 and 10000 that are not divisible by 6, but are divisible…

A: Given, the number of integers between 1 and 10000 To find the integers between 1 and 10000 that are…

Q: Show that a number with 30 digits cannot have more than 100 prime factors.  

A: Prime factor: A factor of a number which is a prime number. For example: consider a number 26. The…

Q: How many four digit positive integers are there that contain the digit 3 and are divisible by 5?

A: A number is divisible by 5, if the unit digit place contains the number 0 or 5. Let m choices to be…

Q: How many integers in {1, 2,..., 100} are not divisible by 7 or 5? (Give the exact number)

A: Find the number of integers in 1,2,...,100 which are not divisible by 7 or 5.

Q: All composite number can represent as product of primes numbers

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Q: How many 5–digit (decimal) integers are there with none of the digits repeated?

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Q: 16. Devise a way of checking whether or not a number is divisible by 24. Test your method on 36 and…

A: 16

Q: Compute the sum of all integers between 60 and 150 that are exactly divisible by 8.

A: Consider the given range of number 60 to 150

Q: Find all three-digit numbers with different digits with the property that those numbers are…

A: Let N=100a+10b+c represent all the three-digit numbers, for some digits, a, b and c. Then,…

Q: Show that the number 7,176,825,942,116,027,211 is divisible by 9but not divisible by 11.

A: Given: Number  7,176,825,942,116,027,211  To check: Given number is divisible by 9 but not divisible…

Q: 2) How many integers between 1 and 200, including both 1 and 200 are divisible by 4 or 5? 3) How…

A:

Q: How many integers in {1,2, 3, ..., 99, 100} are not divisible by 7? (Give the exact number)

A: The given set of numbers is, 1,2,3,.....,99,100 The total no.of numbers from 1 to 100 is, 100 The…

Q: Show that, selecting 91 positive integers guarantees that there are at least 10 integers with the…

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Q: How many integers greater than 120 but less than 540 are divisible by 5?

A: Given Problem:- How many integers greater than 120 but less than 540 are divisible by 5?

Q: Write the set of natural numbers greater than 16 using the most concise method.

A: We need to write the set of natural numbers greater than 16 using most concise method. We know that…

Q: Show that n-lis divisible by 8, if n is an odd positive integer

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Q: 5. Give a recursive definition of the set of positive integers that are multiples of 5.

A: Solution

Q: Compute the sum of the first 50 positive integers that are exactly divisible by 5.

A: To determine sum of the first 50 positive integers that are exactly divisible by 5.

Q: Show that given any set of 5 natural numbers, there are 3 numbers whose sum is divisible by 3.

A: Let q∈N. Note that, for every q there exists some x∈N and some v∈0,1,2 such that q=3x+v. Now, let…

Q: Show that one of the prime divisors of any three-digit composite number is less than 31 prime, or…

A: A composite integer a has a prime factor p only if p≤a that is if p≥a than there exist another prime…

Q: Find the number of distinguishable permutations of the digits of the number 228,434.

A: Write the number in frequency format: Numbers Frequency fi 2 2 8 1 4 2 3 1 Total…

Q: How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7, and 9 which are divisible by 7…

A: Given:   Digits: 2 , 3 , 5 , 6 , 7 and 9 3-digit code  which divisible by 7 with no repetition of…

Q: Prove that if the sum of the digits is subtracted from a natural number, then the result is…

A: let us assume the number to be three digit number xyz therefore, xyz=100x+10y+z sum of digits will…

Q: write a program to evaluate even numbers for [1,10],and [11,20]respectively in matlab

A: Even numbers for [1,10] is given below-

Q: How many positive odd integers less than 10,000 can be written using the digits 3, 4, 6, 8, and 0?

A:

Q: How many positive odd integers less than 10,000 can be written using the digits 3, 4, 6, 8, and 0 if…

A:

Q: 5. Find the number of positive integers less than 700 that are divisible by 3 but not divisible by…

A:

Q: compute the sum of all integers between 60 and 110 that are exactly divisible by 7

A:

Q: The sum of all positive integers less than 400 which are divisible by 5.

A: Positive integers less than 400 which are divisible by 5 are⇒n=79 5,10,15,20,...,395 The above…

Q: Let A denote the set of all 4 digit numbers that are divisible by 3, and B denote the set of all 4…

A:

Q: How many integers between 1 and 10000(inclusive) are divisible by at one of 9, 10, 11?

A:

Q: ) How many 4 digit numbers that are divisible by 10 can be formed from the numbers 3, 5, 7, 8, 9, 0…

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Q: A serial number template consists of 3 alphabetic characters followed by 3 numbers. If letters…

A: Given Information: A serial number template consists of 3 alphabetic characters followed by 3…

Q: A security keypad uses five digits (0 to 9) in a specific order. How many different keypad patterns…

A: There 5 events digits and 5 odd digits. The security keypad uses five digits from 0 to 9. There are…

Q: 3. How many different 6-digit numbers can be formed from the numbers 25627 2? permutation set up

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Q: ) How many,8-distinct/digit numbers can be formed if the numbers áre amultiple of/5 and contain the…

A:

Q: What is the value of the whole number N, if: N ofof of of 100?

A:

Q: Find the number of positive integers ≤ 1000 that are not divisible by 5, 13, or 31?

A: .  Symbol of Greatest Integer Function  To Find: Number of positive integers ≤ 1000 that are not…

Q: 1)What is the binary representation of the largest positive integer that can be represented with 14…

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

Q: 2) Find the number of distinguishable permutations of the digits of the number 911 912 271. 3) In…

A:

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: If we try to get a 6-digit integer with non-repeated digits from 0,2,4,7,8,9, how many integers are…

A: We can use the permutation and combination in order to solve the given problem.