Resistances in Series or Parallel

[peaceandlove]

Homework Statement

You are given three identical resistors, each of 100 Ohms. Show how by using them singly or in series, parallel or series-parallel combinations you can obtain a resistance of 66.7.

Homework Equations

N/A

The Attempt at a Solution

The only way I could think of arranging the resistors in order to obtain a resistance of 66.7 Ohms was if 2 resistors connected in series were parallel to 1 resistor. Is this even possible? Or is there another solution?

 

[queenofbabes]

Why not? It is correct.

 

[LowlyPion]

Well what does it work out to?

The equivalent is a 200 || 100, so that looks like it's right. All 3 || would yield 33 ohms, so ... must only be the one solution.

 

[negitron]

Of course it's possible (and correct, as noted). See the attached image.

 

[peaceandlove]

Well it was the only solution I could think of but I wasn't sure if I could parallel them that way. If I can then I think it's safe to assume it's correct.