The 3 K's are Kihon, Kata, and Kumite. I was simply being a little sarcastic in my 2 K's and an R statement.
Wax,
I'm not saying your instructor is wrong, however he/she is quoting a misconception born out of the arts which use the phrases Kumite and Randori.
Yes, Randori is used primarily by grappling arts, and Kumite is primarily used by striking arts, and although they have different literal meanings as indicated in my first post on this thread; linguistically, Kumite and Randori could be used, quite correctly as interchangeable terms for exactly the same practice, which is of course, Free-Sparring.