2. Find out how many distinct three- digit numbers can be formed using all the digits of 1, 2, and 3.

Q: how many integers from 1 to 1000 are multiples of 3 or 5 (or both)

A: We want to find number of integer from 1 to 1000 are multiples of 3 or 5 (or both)

Q: 2. Perform the indicated Integer operations. -2+(-3) = -4-(-5) = 1- (-2) +2 (-3) 2 (2-4) + (-4) 2-8=…

A:

Q: How many 4-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, if repetition of digits…

A: In this question, concept of combination is applied. Combination A combination is a mathematical…

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: How many 5 digit even numbers are there, a. Given that the first digit cannot be zero. b. Given…

A: In five digit following digit can be filled in following ways: First digit can be filled by…

Q: Fermat's theorem is not true for composite number. Select one: O True O False

A: Ans :  true

Q: Select 8 different numbers from {1, 2, 14). Show that you can find at least three pairs of numbers…

A: To show that you can find at least three pairs of numbers with the same positive difference from the…

Q: 2. In how many numbers with seven distinct digits do only the digits 1-9 appear?

A:

Q: 4. How many different 9-digit numbers can be formed by using the digits in the number 277,728,788?

A: Given numbers  277,728,788 Here we need to evaluate many different 9-digit numbers that can form by…

Q: The total curb weight of a truck, a car A, and a car B is 11,250 lb. The weight of car A is 15 lb…

A: Given,The total weight of a truck, car A and car B is 11,250 lb. The weight of car A is 15 lb less…

Q: Find the product of all positive integers from n down through 1 for n = 5.

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: How many integers between 1 and 822 inclusive are divisible by 5 or 3?

A:

Q: How many 3-digit numbers can be formed from the digits 2, 3, 4, 6, 7 without repetitions? b. How…

A: The 3-digit numbers that can be formed from the digits 2, 3, 4, 6, 7 without repetitions are: 234,…

Q: What is 5 raised to the power of 1

A: Given :    5 raised to the power of 1

Q: How many odd integers from 1,000 through 9,999 have distinct digits?

A: From 1000 to 9999 , all are 4 digited integers.  If the integer is odd then the last digit can occur…

Q: How many different numbers with nonrepeating digits from 4000 to 6000 can be produced using the…

A: The problem can be solved using the concept of permutation and combination.

Q: Consider the following set of numbers: List the numbers in the set that area. natural numbers b.…

A: Consider the given set of numbers -9,-1.3,0,0.3¯,π2,9,10 First write the number as 9=3 then…

Q: Prove a number is divisible by 3 if and only if the sum of its digits is divisible by 3.

A:

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

A:

Q: How many numbers between 1 and 100,000 can be divided by 24?

A:

Q: 3. Consider the numbers A and B below. A = 235 × 512 × 7²1 B = 223 x 37 x 732 (a) Consider the…

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…

Q: How many distinct four-digit integers can one make from the digits 1,3,3,7,7, and 8?

A: How many distinct four-digit integers can one make from the digits 1,3,3,7,7, and 8?

Q: 1. Find all natural number factors (divisors) of the number 42:

A:

Q: The three-digit number 2A4 is added to 329 and gives 5B3. If 5B3 is divisible by 3, what is the…

A:

Q: How many irrational numbers are there?

A: How many irrational numbers are there?

Q: We know: ½ of all integers are divisible by 3 and t of integers are divisible by 7. What fraction of…

A: We need to find fraction that will be divisible by 3,7 or both.

Q: that if 3 divides the sum of the digits of n, then 3|n

A:

Q: Prove that a four-digit number is a multiple of 8 whenever the number formed by the first three…

A: The solution is given by using the expanded form of number as follows

Q: Find the number of different 7-digit numbers which can be formed from the seven digits 4, 4, 7, 9,…

A:

Q: Without using a calculator, test for 60,330 for divisibility by 2, 3, 4, 5, 6, 8, 9, 10, and 11 Is…

A:

Q: Given two natural numbers a and b, how would you check whether a/b has a terminating decimal…

A:

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

A:

Q: Determine whether or not the first number is divisible by the second number 249,576; 3 Yes No

A: given number 249,576 to show it is divisible by 3

Q: H3. Determine the number of positive integer factors of 2000,037,600 ?

A: