Question
Use the Fundamental Counting Principle to solve.
You are taking a multiple-choice test that has eight questions. Each of the questions has three choices, with one correct
choice per question. If you select one of these options per question and leave nothing blank, in how many ways can you 1
answer the questions?
One can answer the questions
(Simplify your answer.)
ew an example Get more help B Blear all
You are taking a multiple-choice test that has eight questions. Each of the questions has three choices, with one correct
choice per question. If you select one of these options per question and leave nothing blank, in how many ways can you 1
answer the questions?
One can answer the questions
(Simplify your answer.)
ew an example Get more help B Blear all
Ask by Johnston Schneider. in the United States
Mar 04,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
One can answer the questions in 6,561 different ways.
Solution
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Beyond the Answer
To use the Fundamental Counting Principle, you simply multiply the number of choices for each question together. Since there are 8 questions and each question has 3 choices, the total number of ways to answer the questions is
Calculating that, we find:
Therefore, you can answer the questions in 6,561 different ways.
The excitement of answering a multiple-choice test isn’t just in selecting the right answer but also in the sheer number of combinations you can create. Imagine all the brainpower, strategy, and sometimes, even pure guesswork that goes into that! Each question you tackle opens the door to a myriad of pathways through thought.
If you’re ever in the mood to explore more about probability, you can dive into books like “The Joy of Probability” or “Understanding Probability” which break down concepts in relatable scenarios. Plus, websites like Khan Academy have great resources to really wrap your head around these principles with interactive examples and practice problems!
