SOLUTION: An exam consists of nine true-or-false questions. Assuming that every question is answered, in how many different ways can a student complete the exam? In how many ways may the exa

Question 1054833: An exam consists of nine true-or-false questions. Assuming that every question is answered, in how many different ways can a student complete the exam? In how many ways may the exam be completed if a penalty is imposed for each incorrect answer, so that a student may leave some questions unanswered?

a. 129; 587
b. 637; 38,777
c. 587; 14,685
d. 146; 7,159
e. 512; 19,683
f. 161; 11,858
Thank you

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
2 ways to answer each question, and 9 questions. That is 2^9=512, so E should be the answer.
If some questions are unanswered, then it is 3^9, and that is 19,683.
E.
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