Question 342137: In how many ways can a 10-question multple choice test be answered? Assume that there are 4 choices for each question, each question is answered, and the same choice is never made on anytwo concecutive questions (if (b) is chosen for question 1, then it will not be chosen for question 2).
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! In how many ways can a 10-question multple choice test be answered?
Assume that there are 4 choices for each question, each question is answered, and the same choice is never made on any two concecutive questions (if (b) is chosen for question 1, then it will not be chosen for question 2).
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1st question: 4 choices
2nd question: 3 choices
3rd question: 3 choices
...
10th question: 3 choices
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Total # of choices: 4*3^9 = 78732 choices
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Cheers,
Stan H.
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