Select 8 different numbers from {1, 2, 14). Show that you can find at least three pairs of numbers with the same positive difference. Here, one number

Q: How many integers from 1 through 1000 are multiples of 7 or multiples of 4?

A: Let A be the set of integers that are multiples of 7 and B be the set of integers that are multiples…

Q: Determine how many eight-digit positive integers you can make if the integers must include at least…

A: Let us assume there are three persons A, B and C sitting beside each other. The different ways in…

Q: Graph each number on the number line. {82/3, (-729)/3, –16-1/4, 43/2, – 100 Click and drag each…

A:

Q: How many zeros does 25! end with?

A: A number will have trailing zeros when 5 and at least one even number are factors of it.   Also, the…

Q: If 9 divides the units (the ones) digit of a number, then 9 divides the number.   true or false

A: This is a problem related to divisibility of the numbers. Please follow the procedure given below.

Q: how many positive integers less than 150 with a remainder of 3 if divided by 7?

A: To find number of positive integers less than 150 with a a remainder of 3 if divided by 7

Q: The ten's digit in a two-digit number is 2 greater than the one's digit. If we interchange the…

A: Topic- Linear equations We are given The ten's digit ina two digit number is 32 greater than the…

Q: Find the number of 3-digit integers that are not divisible by 4, 5, or 6.

A: Find: The aim is to find a three digit number that are not divisible by 4,5, or 6.. Concept: The…

Q: Find the smallest integer greater than 100 that is divisible by 3 but leaves the reminder 1,5 when…

A: To find- Find the smallest integer greater than 100 that is divisible by 3 but leaves the remainder…

Q: determine the number of five-digit integers that contains the digit six exactly once

A: Explanation of the answer is as follows

Q: a five-person committee is created by randomly selecting members from a group of 3 faculty and 5…

A: 3 Faculty5 students___________8 total peopleselect five person committee by selecting members at…

Q: how many odd 3-digit numbers can be formed from 0, 1, 2, 3 and 4?

A: The digits used to make the odd number are 0, 1, 2, 3, 4.

Q: If the largest of 89 consecutive integers is 327, what is the smallest?

A: It is given that largest to the 89 consecutive integers is 327. We need to find the smallest integer…

Q: Find all integers that leave a reminder of 3 when divided by 5,5 when divided by 7 and 7 when…

A: The given problem is to find all the integers that satisfies the given conditions. We have to…

Q: Find 1000 consecutive composite integers, without writing them out.

A: Let m be a positive integer then m consecutive comoposite positive integers is given by  (m+1)! + 2,…

Q: How many 3 digit numbers may be formed from the digits 0,1,2,3,4, & 5 if no digit maybe repeated?

A: The given number are 0,1,2,3,4,5.

Q: A "S number" is a positive even number that is not the product of two even numbers. A "B number" is…

A: Given: S number= positive even number that is not the product of two even numbers,  B number=an…

Q: The number 3 1/2 falls between what two integers on the number line?

A: The number is given by 312 To evaluate : The two integers between which 312 falls.

Q: Find the missing digit in the number 1234x34780 if we know this number is a multiple of 9

A: Introduction: If the remainder is zero, a number is said to be divisible by another number.…

Q: A girl writes a different natural number on each of the cubes in the image. The sum of numbers on…

A: For maximizing a particular number in an equation, try minimizing other numbers. By doing this…

Q: For two or more natural numbers, how does the greatest common divisor and least common multiple…

A:

Q: Three different number is chosen randomly that is 751, 1229 and 1946. Is it possible for the three…

A: Given, Three different numbers 751,1229 and 1946. Divided by same integer d. Remainder (r) is same…

Q: how many 6 digit numbers can be formed, if at the place of hundred thousand there are allowed two…

A: Yes your step is right.Hundredth thousand place can be chosen in 2 ways. And hundredth place can be…

Q: How many four-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, and 6 if each digit can…

A:

Q: John found the sum of the first 2021 positive even integers and Bob found the sum of the first 2022…

A: In this question, tne concept of sum of first positive even integers is applied.

Q: How many nine-digit numbers with twice as many odd digits as even digits? (leading zeros are…

A: The number of digits are 9. The number of odd digits are twice the number of even digit.

Q: To determine whether a number is divisible by 18, we can see if the number is divisible by 6 and 3.…

A: The statement is false.   For a number to be divisible by 18 should be divisible by 9 and 2.   The…

Q: Compute P9,2. (Enter an exact number.)

A:

Q: How many even three digits numbers can be found from the digits 3,2,5,6 and 9 if each digits can be…

A: Given, s={3,2,5,6,9}