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Give an example of a relation on the set {1, 2} which is both symmetric and antisymmetric. (It is sufficient to draw an arrow diagram to represent the relation.)

Re: Discrete Maths Sem 2 2016 Suppose gcd(a,a-b) = d_1. d_1 = ax + (a-b)y d_1 = a(x +y) + b(-y) = gcd(a,b)

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Re: Discrete Maths Sem 2 2016 When you change your gamma to less than 20 and then you have 37C2 - 16C2 which is the answer.

Re: Discrete Maths Sem 2 2016 Do you mean \gamma \leq 20 ?

This isn't the general solution.

I showed my tutor my way and he said its all g but I have to prove something in regards to 3 mod 4.

If you prove x^2 + y^2 = 9M for some M integer then it's proved but I don't know how to prove this that's why im resorting to exhaustion as the answers say but I don't understand it.

How is this a necessary condition?

$ Question 1: Write down the general solution to $ 1039x +2013y = 4. $ Question 2: In regards to Kuratowski's theorem I havn't been able to see which lines to delete is there an approach to take? $ $ Question 3: Give an example of a function $ f: X \rightarrow Y $ and two subsets A, B of...

Also I am doing past papers and circling questions I cant do Ill post them here after I finish all of em

That's what I did. Unrestricted - (If 1 of the letters is in it) + (if pairs of the letters are in it)

A security agency sends messages using 12 letter code words, made up using the 26 letters of the English alphabet. How many words contain at least one X and at least one Y and at least one Z? I had : 26^{12} - 3 \cdot \binom{12}{1} \cdot 25^{11} + 3\binom{12}{2} 2! \cdot 24^{10}...

http://www.independent.co.uk/news/world/americas/donald-trump-president-election-muslim-ban-immigrants-website-statement-removed-a7408466.html?cmpid=facebook-post Does this make you upset Sylvia?

Don't worry about the first question but the second is messed up nvm got it.

Either way both choices were aids.

2016 : trump wont win 2017: president trump can't do that, can he? 2018: you watching the hunger games tonight? I hope my district wins

Need help for these thanks

Wonder how big the walls going to be...

Re: MATH1231/1241/1251 SOS Thread Spending too much time on mathematical memes ?