Question

You are given 2019 integer numbers. Show that you can choose several of them such that...

You are given 2019 integer numbers. Show that you can choose several of them such that their sum is divisible by 2019.

Homework Answers

Answer #1

this result for any n . So for 2019

PLEASE THUMB

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1.) Given any set of 53 integers, show that there are two of them having the...
1.) Given any set of 53 integers, show that there are two of them having the property that either their sum or their difference is evenly divisible by 103. 2.) Let 2^N denote the set of all infinite sequences consisting entirely of 0’s and 1’s. Prove this set is uncountable.
Write a function that takes two integer inputs and returns the sum of all even numbers...
Write a function that takes two integer inputs and returns the sum of all even numbers between these inputs, and another function that takes two integer inputs and returns the sum of odd numbers between these inputs .In main function, the program will asks the user to enter two integer numbers and then passes them to these two functions and display the result of each of them.         [0.5 mark] (BY USING C PROGRAM)
Consider the numbers 624 and 847.   Show that these numbers can be written as the sum...
Consider the numbers 624 and 847.   Show that these numbers can be written as the sum of three squares OR show that they cannot be written as the sum of three squares.
Let x, y, z be three irrational numbers. Show that there are two of them whose...
Let x, y, z be three irrational numbers. Show that there are two of them whose sum is again irrational.
Write a method which takes as input an integer, returns true if the integer is prime,...
Write a method which takes as input an integer, returns true if the integer is prime, and returns false otherwise. Do not import anything. If the input is negative, 0 or 1, false should be returned. If the input x is greater than 1, you can test if it is prime (inefficiently) by checking if it is divisible by any integer from 2 up to half of x. If it is not divisible by any of these numbers, then it...
if you are given a finite set V and a nonnegative integer for each element in...
if you are given a finite set V and a nonnegative integer for each element in the set such that the sum of the integers is even, can V be realized as vertices of a graph with the associated degrees? If so prove it. If not give a counterexample.
(SHOW YOUR WORK!!!) Bob rolls two dice. One of them is four-sided and contains the numbers...
(SHOW YOUR WORK!!!) Bob rolls two dice. One of them is four-sided and contains the numbers 1-4. The other die is five-sided and contains the numbers 1-5. What is the probability that the sum of the values on the dice is less than 4?
A. Choose an integer in [1, 100] at random. Compute the probability that it is divisible...
A. Choose an integer in [1, 100] at random. Compute the probability that it is divisible neither by 6 nor by 9 using the formula P(A ∪ B) = P(A) + P(B) − P(A ∩ B). B. when you sit 3 men and 4 women at random in a row. What is the probability that either all the men or all the women end up sitting together?
1. Prove that an integer a is divisible by 5 if and only if a2 is...
1. Prove that an integer a is divisible by 5 if and only if a2 is divisible by 5. 2. Deduce that 98765432 is not a perfect square. Hint: You can use any theorem/proposition or whatever was proved in class. 3. Prove that for all integers n,a,b and c, if n | (a−b) and n | (b−c) then n | (a−c). 4. Prove that for any two consecutive integers, n and n + 1 we have that gcd(n,n + 1)...
In mathematics, the Fibonacci numbers are the numbers in the following integer sequence, called the Fibonacci...
In mathematics, the Fibonacci numbers are the numbers in the following integer sequence, called the Fibonacci sequence, and characterized by the fact that every number after the first two is the sum of the two preceding ones: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, … The sequence Fn of Fibonacci numbers is defined by the recurrence relation: Fn = Fn-1 + Fn with seed values F1 = 1 F2 = 1 For more information on...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT