SOLUTION: How many ways can you answer 15 true/false questions? i thought since there were 2 answers for every question thats 30 answers total so the final answer to the question would be 30

Question 347209: How many ways can you answer 15 true/false questions? i thought since there were 2 answers for every question thats 30 answers total so the final answer to the question would be 30 choose 15.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
How many ways can you answer 15 true/false questions? i thought since there were 2 answers for every question thats 30 answers total so the final answer to the question would be 30 choose 15.
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Each question can be answered in 2 ways.
1 question: 2 ways
2 questions: 2^2 ways (tt,tf,ft,ff)
3 questions: 2^3 ways (ttt, ftt,tft,ttf,tff,ftf,fft,fff)
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15 questions: 2^15 = 32,768 ways
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Cheers,
Stan H.
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