Answer:
2048
Explanation:
we are given the total number of switches (N) to be = 11
The number of possible outcome for each switch (n) is = 2 ( up and down)
Therefore all possible outcomes in the sample space of possible codes will be [tex]n^{N}[/tex] = [tex]2^{11}[/tex] = 2048
The sample space can be represented like this :[tex]s=\{ (x_{1},x_{2},x_{3},...,x_{11})|x_{1},x_{2},x_{3},...,x_{11}\in\{up,down\} \}[/tex]
