How many integers between 100 and 400 contain the digot 2?

Q: 3. How many 4-digit positive integers are there that are even or contain no O's?

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Q: are there any even numbers greater than 2 which are prime? why or why not?

A: We will find the solution in the following step

Q: How many positive integers less than 10000 are there which contain at least one 7 or at least one 9…

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Q: 7. How many positive integers between 100 and 999 inclusive are divisible by 78

A: We have to find the number of positive integers between 100 and 999 inclusive that are divisible by…

Q: How many 3-digit positive integers exist that when divided by 7 leave a remainder of 57

A: 3 digit positive integers start from 100 and ends with 999. Least positive 3 digit integer which…

Q: 10. How many positive integers between 100 and 999 inclusive a) are divisible by 7? b) are not…

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Q: Show that if n is any integer, then 3 divides n3 − n

A: To prove:  if n is any integer, then 3 divides n3 − n. Concept used: Here we shall use the identity:…

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

A: Integers between 0 and 500 = 1, 2, 3, 4, ....., 499   Number divisible by 3 = 3, 6, 9, ...., 498…

Q: How many positive integers less than 1,000,000 have a digit sum of 5?

A: We have to find the number of positive integers 1,000,000 have a digit sum of 5. The number less…

Q: Find integers ? and ? such that 3220? + 6006? = gcd(3220,6006).

A: Remark: The greatest common divisor (gcd) of two integers is the greatest integer that divides both…

Q: Find how many positive integers with exactly four decimal digits, that is, positive integers between…

A:

Q: How many triples of integers from 2 through 16 can be formed in which the integers are in increasing…

A: Any triple of integers (i, j, k) with 2 ≤ i ≤ j ≤ k ≤ 16 can berepresented as a string of 15 – 1…

Q: a) How many 3-digit positive integers are there with odd digits?

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

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Q: How many positive integers between 5 and 31 (a) are divisible by 3? (b) are divisible by 4? (C) are…

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Q: The integers 77 and 105 are relatively prime. صواب İhi

A: By finding the factors of given numbers you can find the solution :

Q: Set C is the set of positive two-digit even numbers less than 56 that are divisible by 5.

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Q: 4) Find the number of positive integers not exceeding 1,000 that are not divisible by 3, 5, or 11.

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Q: How many pairs of integers (a,b) exists such that the product of a,b and HCF of (a,b) is 1080??

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Q: Show that for all integers n:  ceil(n) = -floor(-n)

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

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Q: determine the number of computer can randomly generate one such integers from 1 through or more 12.…

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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 integers in the set {1,2,3,4, ..., 200} is divisible by at least one of the primes 2, 5 and…

A: Just use inclusion-exclusion principle for three sets.

Q: show that every integer greater than 11 is the sum of two composite integers

A: We need to prove that  every integer greater than 11 is the sum of two composite integers.

Q: (a) Suppose that there are k distinct positive integers that divide an odd positive integer n.…

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Q: Find the sum of all positive integers, from 5 to 1555 inclusive, that are divisible by 5.

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Q: If n = 3, what is 3n? Submit

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Q: Find how many positive integers with exactly four decimal digits, that is, positive integers between…

A: Note : According to our guidelines we can solve only first three subparts and rest can be…

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

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Q: Assume that all four-digit integers (numbers from and including 1000 to and including 9999) are…

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

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Q: Find how many positive integers with exactly four decimal digits, that is, positive integers between…

A: The positive integers between 1000 and 9999 is calculated as follows.

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

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Q: How many positive integers not exceeding 3000 are divisible by exactly two of 4, 10, 12? (Steps…

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Q: Let S be the set of all (nonnegative) 4-digit integers. How many integers does S contain?

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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: Choose two distinct integers, x and y, between 0 and 9. Derive the number of 9- digit integers that…

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Q: a. On each of four consecutive plays in a football​ game, a team lost 8 yards. If lost yardage is…

A: On each of  four consecutive Plays in football gane team lost 8 yards

Q: How many integers greater than 130 but less than 640 are divisible by 7? O None of these. O 72 O 73…

A: Correct ans is = 73 Please find attachment for the details solution

Q: How many integers between 100 and 999 have distinct digits, and how many of those are even numbers?

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Q: How many integers from 1 to 99,999 contain exactly two consecutive 1s?

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Q: find the sum of all integers between 300 and 800 that are exactly divisible by 14

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Q: How many 5 digit positive integers are divisible by 5 and have at least one 6 as their digit?

A: A number is divisible by 5, if it has a 0 or 5 in the unit digit place. Let m choices to be made…

Q: 7. How many positive integers between 100 and 999 inclusive are divisible by 7?

A:

Q: How large a subset of the integers from 1 to 50 must be chosen to guarantee that one of the numbers…

A: We have to determine How large a subset of integers from 1 to 50 must be chosen to guarantee that…

Q: Find the sum of all  natural numbers between 250 and 1000 which are exactly divisible

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Q: How many corresponding integers are made up of 1443 digits taken from (1-2-3-4-5-6) provided that no…

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Q: How many four-digit positive integers both start and end in even digits:

A: We need to find the number of positive integers both start and end in even digits.

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.