A security system has 12 switches each of which can be set o

A security system has 12 switches, each of which can be set on 0 or 1. A setting for the system is defined by the sequence of 0s and 1s indicated by switches 1 through 12. How many different settings are possible with this system?

Each switch has 2 options 0 or 1.

Since there are 12 switches, so number of possible ways are 2¹² =4096