Ion channels are membrane-spanning proteins that allow the flow of ions between the intra- and extracellular space. There are N ion channels. These channels can be in one of three states, open (o), closed (c), and partially open (p). Write an expression for the probability that m of the N channels will be open at any given time given that the probability of finding a single open channel is q and the probability of finding a partially open channel is 0. Solution p = q^m * O^N-m.