Question

Prove that in a collection of 19integers, there are at least two of them whose difference...

Prove that in a collection of 19integers, there are at least two of them whose difference is divisible by 18.

Homework Answers

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
Write the contrapositive statements to each of the following. Then prove each of them by proving...
Write the contrapositive statements to each of the following. Then prove each of them by proving their respective contrapositives. a. If x and y are two integers whose product is even, then at least one of the two must be even. b. If x and y are two integers whose product is odd, then both must be odd.
1. Abigail, Beth and Charlotte picked 31 oranges combined. Prove that at least one of them...
1. Abigail, Beth and Charlotte picked 31 oranges combined. Prove that at least one of them picked at least 11 oranges. Also prove that at least one of them picked at most 10 oranges.
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.
Prove that if we randomly pick 39 numbers then there will always be 3 of them...
Prove that if we randomly pick 39 numbers then there will always be 3 of them with the property that their pairwise differences are divisible by 19.
Prove deductively that for any three consecutive odd integers, one of them is divisible by 3
Prove deductively that for any three consecutive odd integers, one of them is divisible by 3
Prove that if there are n≥2 people at a party, then at least 2 of them...
Prove that if there are n≥2 people at a party, then at least 2 of them have the same number of friends at the party. (Hint: The Pigeonhole Principle states that if n items are placed inmcontainers, wheren>m, at least one container must contain more than one item. You may use this without proof.)
fifty-one numbers are chosen from 1-100 prove that at least 2 of them are consecutive
fifty-one numbers are chosen from 1-100 prove that at least 2 of them are consecutive
I have two children. (a) At least one of them is a girl. What is the...
I have two children. (a) At least one of them is a girl. What is the probability that both are girls? (b) The older one is a girl. What is the probability that both are girls? (c) I have a daughter whose name is Jane. What is the probability that both are girls?
Prove the following by contraposition: If the product of two integers is not divisible by an...
Prove the following by contraposition: If the product of two integers is not divisible by an integer n, then neither integer is divisible by n. (Match the Numbers With the Letter to the right) 1 Contraposition ___ A x = kn where k is also an integer 2 definition of divisible ___ B xy is divisible by n 3 by substitution ___ C xy = (kn)y 4 by associative rule ___ D If the product of two integers is not...
Let G be a simple graph with at least two vertices. Prove that there are two...
Let G be a simple graph with at least two vertices. Prove that there are two distinct vertices x, y of G such that deg(x)= deg(y).
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT