The code for some garage door openers consists of 15 electrical switches that can be set to "+" , "0" , or "-" by the owner. With this type of opener, how many different codes are possible?
A) 14,350,167
B) 14,347,707
C) 14,348,907
D) 14,348,659

Question

Quizplus · Accepted Answer

Each of the 15 switches can be set in 3 different ways ("+", "0", or "-"), so the total number of possible codes is $3^{15}$. Calculating $3^{15}$ gives 14,348,907.

The Code for Some Garage Door Openers Consists of 15