I think it's supposed to be R=V/I
Well, I'm pretty sure that it must be R=U/I worldwide, but maybe I'm wrong. It's the "Ohmsche Law" (that's a bad translation what it is called in german) and therefore it should be have the same letters everywhere. Anyway, don't ask me why there is an U, it doesn't match with any german word, too.
Ok, here we go. Funny, I wanted to tell you about the power supplies amps in a new post, but haven't got it for I was still at work that time.
1) It absolutely doesn't matter how much maximum ampere your adapter is capable off. If you got a 200mA-adapter, fine, it'll easily run up to 10 LEDS (when we go with 20mA per LED needed). You can also hook up only one LED, it really doesn't matter. If you get an 20A adapter, take a 20A adapter. Maybe it would have a big housing and some kind of hot, but you could use 1 LED up to 1000 LEDS, just like you want, no problem! You see, it's just a matter what
maximum ampere strength it can bare.
2) In most cases there should be no problem connecting a LED directly to the IPC with the LED-harness-plug. Maybe ask Andy about it to be on the save-side, but the power needed of a blue or white-LED isn't that much higher then the normal LED's. I'm pretty sure that you won't need a relay to drive more powerful LED's, most relays might draw more power then a LED ever needs.
3) So, next step in the laws of electronic:

Okay, there are two ways to hook LED's together.
Just add the mA of all LED's you hook parallel together - for example, if you have three LED's each drawing 20mA, just calculate you have a big LED that wants 60mA-power.
You also can hook them together in line (myself would prefer the parallel route), than you just add the voltage needed. have three LED's that all want to have 2,2V, handle and calculate it as a big LED that wants 6,6V but is still happy with 20mA.
Get the point?
4) Your PC delivers many amps on the 5V-line (most probaly you'll take this), shall be about 5-6A, but don't nail me on that. When you open your computer case, it should stand there on it. Of course, the computer wants to have most of this power, but there is surely always enough to lit tons of LEDs. 1-2A should be no problem, so hook up a hundred LED's and then post us the picture

Oh, last but not least, to make your blue LED example happy, get a 47 Ohm resistor. Mathematically you would need a 40 Ohm, but this resistor value just isn't available.
If you got further questions, don't hesistate to ask!
