SOLUTION: How many different ways can 12 questions on a true false test be answered if a student answers every question. I have... 12 questions each with 2 possible answers so... 24 diff

Question 330018: How many different ways can 12 questions on a true false test be answered if a student answers every question.
I have... 12 questions each with 2 possible answers so... 24 different ways...is that right?
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
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
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