SOLUTION: In how many ways can a student answer 14 true or false questions on a test?

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Question 651477: In how many ways can a student answer 14 true or false questions on a test?
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

For each question, if you have to answer all of them, you can either answer it true or false; so for 14 questions , the number of ways is 2%5E14=16384

But, if you have an option to either answer it true, answer false, or leave it blank, this is 3 ways for each of 14 questions, so the total number of ways is 3%5E14=4782969.