Ok, just in case, here are some words: The number of subsets of size two taken from a set of size
is denoted by
, read as
choose 2. This Demonstration shows that for each such subset (shown as two blue disks in the bottom row) there is a unique orange disk in the triangle above. Since there are
disks in this triangle (one summand for each row), this sum must be equal to
. Click any disk above the bottom row to explore this association.
