rc/retired
Senior Member
- Location
- Bellvue, Colorado
- Occupation
- Master Electrician/Inspector retired
Right! And average Joe homeowner is going to do just that!You probably have a limited number of possible devices you can put on any one circuit. Let's say 6. You can have any combination of devices on at the same time, from only one to all six. If you assume there is some critical threshold of devices that definitely gives higher temperature than the cable rating, the trick is to know when a combination is excessive. How may combinations do you need to look at? The general formula for combinations is:
nCr = n!/(r!(n-r)!)
The formula means "If I have n objects and choose r at a time, and order does not matter, how many different ways can I choose those objects?"
You actually have to sum up six instances, since you can choose sets of from one to six objects at a time. I've used an online calculator to give the following:
6 + 15 + 20 + 15 + 6 + 1 = 63
There are 63 cases to calculate for 6 devices on one branch circuit.

Ron