Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

I formulated this question while thinking about resistor networks.

Suppose you are given N distinct resistors. How many ways are there to combine them into a resistor network?

A resistor network is one of the following:

  • a single resistor
  • two resistor networks connected in parallel
  • two resister networks connected in series

The two later cases are commutative and associative. ie A+B = B+A and (X+Y)+Z = X+(Y+Z). Equal networks should only be counted once.

By what method can we calculate the number of combinations?

share|cite|improve this question
up vote 0 down vote accepted

this other question is about identical resistors but it is nearly duplicate

Given $n$ identical resistors $R$, find combinations of series, parallel, and series-parallel arrangements

share|cite|improve this answer

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.