A wireless garage door opener has a code determined by the up or down setting of 17 switches. How many outcomes are in the sample space of possible codes?

Respuesta :

Answer:

There are 131072 outcomes possible codes in the sample space.

Step-by-step explanation:

Number of switches: 17

Switch possition: 2(up or down)

The outcomes in the sample space is given by:

[tex]S=2^{17}=131072[/tex]

There are 131072 outcomes possible codes in the sample space.