1)In a room let there be people. Show that there must exist two people that shaked the same number of hands with others.

2)Let be distinct integers from not necessarily in that order. Show that if is odd then is an even number.

__________________

To view links or images in signatures your post count must be 10 or greater. You currently have 0 posts.


"Democracy has proved only that the best way to gain power
over people is to assure the people that they are ruling
themselves. Once they believe that, they make wonderfully
submissive slaves." - Joseph Sobran