SOLUTION: If I have a multiple choice test with three possible answers for each of 10 questions, how many possible ways are there to answer the test

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Question 1132187: If I have a multiple choice test with three possible answers for each of 10 questions, how many possible ways are there to answer the test

Found 2 solutions by MathLover1, Alan3354:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!


choices for each of questions:

here you have objects (the answer options, , , and )
You are going to chose a group of , and the order matters, repetition is allowed (you can answer "" on all of the questions if you want to).
This is a simple . Use the formula:
where is the number of objects (the number of answer choices)
and is the number of objects you will choose (, one answer for each question)

To solve:
so there will be ways to answer the test

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
If I have a multiple choice test with three possible answers for each of 10 questions, how many possible ways are there to answer the test
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ways.
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If you include "no answer"

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