If there's only two teachers at the convention and they shake hands, that's just one handshake- an odd number. The count is an "objective" count of all handsha

If there's only two teachers at the convention and they shake hands, that's just one handshake- an odd number. The count is an "objective" count of all handshake-events, not the sum of everyone's personal handshake counts. Writing unambiguous math problems is a surprisingly hard thing to do!