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*The Quarterly
Examination has ten True-
False questions. How
many different choices
for answering the ten
questions are possible?
QUIZ #1

Ask by Long Carlson. in the Philippines
Jan 22,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

Responder

There are 1,024 different ways to answer the ten True/False questions.

Solución

To determine the number of different ways to answer the ten True/False questions on the exam, consider the following:
  1. Choices per Question:
    • Each question has 2 possible answers: True (T) or False (F).
  2. Total Number of Questions:
    • There are 10 questions in total.
  3. Calculating the Total Number of Choices:
    • For each of the 10 questions, you have 2 choices.
    • The total number of different ways to answer all questions is calculated by multiplying the number of choices for each question together.
    • This can be expressed mathematically as:
    • Calculating this:
Conclusion:
There are 1,024 different possible ways to answer the ten True/False questions on the exam.

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Bonus Knowledge

With ten True-False questions, each question has 2 possible answers: True (T) or False (F). To find the total number of possible combinations for answering all ten questions, you can use the formula , where is the number of questions. So here, it’s different ways to answer the questions. That means you’ve got 1,024 unique combinations to choose from!
Imagine the possibilities: if each combination was a different dance move, you could be hosting a dance party that no one would ever forget! Just be careful if you’re scoring that exam, as you might end up with a lot more results than you bargained for.

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