Question 330018
2 ways to respond to one question ___ t , f


4 ways to respond to two questions ___ tt , tf , ft , ff


8 ways to respond to 3 questions ___ ttt , ttf ,tft , ftt , fft , ftf , tff , fff


each question doubles the number of ways , because of two possible responses


so for 12 questions , the number of ways is 2^12