OD & boost question

Hootsmon

Let's say you have 2x ODs on the floor and 2x boosts....a boost at the front of the ODs and a boost at the end

Assuming you have a clean amp only, all pedals off tone,, and one or all ( or any combination) of the ODs and boosts on,how many combinations are possible?

 

A poor man's multi channel amp switcher on the floor...how many channels?

prlgmnr

Amp

Boost 1 -> Amp
OD 1 -> Amp
OD 2 -> Amp
Boost 2 -> Amp

Boost 1 -> OD 1 -> Amp
Boost 1 -> OD 2 -> Amp
Boost 1 -> Boost 2 -> Amp

OD 1 -> OD 2 -> Amp
OD 1 -> Boost 2 -> Amp


OD 2 -> Boost 2 -> Amp

Boost 1 -> OD 1 -> OD 2 -> Amp
Boost 1 -> OD 1 -> Boost 2 -> Amp
Boost 1 -> OD 2 - Boost 2 -> Amp

OD 1 -> OD 2 -> Boost 2 -> Amp

Boost 1 -> OD 1 -> OD 2 -> Boost 2 -> Amp

prlgmnr

There are 31 possible combinations of 5 things, but 15 of them in this case aren't possible. 

edit: hang on, this is only if order doesn't matter which in this case it could. Assuming order is fixed I think my list is ok.