I have 9 books with 10 pages each, and 1 book with 11 pages.
I am not able to divide 101 pages into two equal piles.
Is there something missing?
There are ten books, each with fewer than 100 pages. Show that it is possible to arrange some or all of the ten books into two piles, with at least one book in each pile, so that the number of pages in each pile is the same.
Does anyone know how to go about doing this problem?? I am so stuck!!
Note that these two disjoint subsets must both be non-empty. Do you see why?