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) About Me  (Show Source):
You can put this solution on YOUR website!


3 choices for each of 10 questions:

here you have 3 objects (the 3 answer options, a, b, and c)
You are going to chose a group of 10 , and the order matters, repetition is allowed (you can answer "c" on all of the questions if you want to).
This is a simple permutation. Use the formula:
n%5Er where n is the number of objects (the number of answer choices)
and r is the number of objects you will choose (10, one answer for each question)

To solve:
so there will be 3%5E10+=+59049 ways to answer the test

Answer by Alan3354(69443) About Me  (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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3%5E10 ways.
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If you include "no answer" 4%5E10