What is the total number of combinations for 7 on-off switches when multiple swithes can be simultaneously on-off? Is it 2x2x2x2x2x2x2?

Question

2x2x2x2x2x2x2 seems too small a number of combinations. 

Answer 1

say you had 2 switches

each one is either on (O) or off (F)

2*2=4

OO

OF

FO

FF

say you had 3 switches

2*2*2=8

FFF

OFF

FFO

FOF

OOO
OOF
FOO
OFO

if you had 7 switches...

2*2*2*2*2*2*2=128