1.A remote-control door opener has a series of ten two-position (0 or 1) switches used to set the access code.The code is initially set at the factory, and the switch sequence on the remote control and the opener must match in order to use the system.

a.How many different access codes are possible?

b.If all access codes are equally likely, what is the probability a randomly selected system will have a code with exactly one 0?

c.I f all access codes are equally likely, what is the probability a randomly selected system will have a code with at least one 0?

To increase security and ensure customers will have different access codes, new systems have 10 three-position switches (0, 1, or 2).Answer parts (a) and (b) using the new system.