I have 10 resistors of 18 ohms/25 watts each. I will use them for a load bank I am building.
In trying to achieve flexibility, I began asking myself what maximum number of different resistances are possible with any combination of them. It is obvious that two in parallel is 9 ohms, three in parallel is6 ohms, etc, down to 1.8 ohms. It is also obvious that two in series is 36 ohms, three is 54 ohms, etc up to 180 ohms.
Then I began thinking of combinations of series/parallel like two in series (or parallel) with one in parallel (or series), and so on.
I think you get my drift. My brain too old and out of practice now to set up the problem and I was never good at that Binomial Theorem thing to begin with. Can somebody enlighten me?
Many thanks, John S