Ethernet Wiring Order Answered

Hi, I have a cat6 ethernet cable with 8 non-twisted wires all apparently being of different solid colors. Is it OK to attach both ends to the connectors in any order as long as both ends have the same color order? Since the colors are non-standard I can't go by any convention such as T-568A or T-568B. I am using this in my home and since it will be a one-off I don't care about convention standards as long as the configuration I use will work.

By the way, do I need to be concerned about the fact that they are non-twisted wires? What's the difference anyway?

I would appreciate your answer. Thanks.