List of Insufficient Material Combinations

First of all, my apologies if this thread has already been made and/or this is the wrong subforum for it. I couldn't find a thread like this, and this is my best guess as to where to put it.

What are all the insufficient material scenarios? I know that K + B vs. K and K + N vs. K are draws, and I'm pretty sure that K + N + N vs. K is a draw too (please correct me if I'm wrong there). I also know that K + B + B vs. K is possible to win, even if very difficult. I have no clue about K + B + N vs. K though, or if I'm missing any other possibilities.

K+B+N vs. K is the hardest endgame (in my opinion) to win, but it is very possible and forced.

 How about a diagram of it. 

I think K+Q vs. K+R is much harder. K+B+N vs. K is difficult but I think I could figure it out with 10 minutes on the clock.

These are all the basic piece endgames you will encounter:

Q+K vs. K, very easy, common

R+K vs. R, easy, common

B+B+K vs. K, intermediate, fairly uncommon

B+N+K vs. K, difficult, fairly uncommon

Q+K vs. R+K, very difficult, fairly uncommon

Q+K vs. N or B+K, easyish, fairly uncommon

N+N+K vs. K, easy draw, fairly uncommon

R+N+K vs. R+K, draw, but hard to defend, uncommon

R+B+K vs. R+K, draw, not sure on difficulty, uncommon

Technically K+N+N vs. K is a draw, but not by insufficient material, because checkmate is possible.

I've heard that only one position is a draw with K+Q vs. K+R. The others were a win.

Sorry, I actually don't know how to win!!!

I could play a game against the computer and post it if I can succeed.

I doubt u will

All right, so K + B + N vs. K is possible; that's good to know. 

"Technically K+N+N vs. K is a draw, but not by insufficient material, because checkmate is possible."

Example please?

I basically want to know which material combinations are automatically draws, so I don't waste time in an offline game, where a computer does not tell me when checkmate is impossible.

here is why, it is impossible to force, it is however possible to do

those are two, I know there is one on the side but not sure how it works

Ah, okay then. I guess the opponent would have to be really, really stupid to let that happen though. :p

Here is a list of all endgames where checkmate is impossible:

K vs. K

K+N vs. K

K+B vs. K

K+B vs. K+B where the bishops are the same color

I don't list other endgames because although they are forcibly drawn, checkmate is possible in extroardinary circumstances, like if your opponent lets you mate him.

Consider K+B vs. K+B where the bishops are of opposite color, mate is possible but almost all positions are forcible drawn. I will show you one of the special cases so that you understand why checkmate is possible.

Two Knights with the King on the side of the board.

Now try K+Q vs. K+R and time it and do your best!

 I might try tomorrow, if I can remember. I might need 30 min. to do that one right. I've tried it several times before and I can't quite figure it out.

I just noticed that I accidentally made "N" a "K." I just fixed it.

WIN

             Q+K vs K

             R+K vs K

             B+B+K vs K

             B+N+K vs K

             R+B+K vs K+R

             R+N+K vs K+R

             Q+K vs K+R

             Q+K vs K+N

             Q+K vs K+B

             N+N+B+K vs K

N+N+K vs K+P

K+P vs K

DRAW

              K+N+N vs K

              K+B vs K

              K+N vs K

              K+R vs K+B

              K+R vs K+N