Test question combination question

In summary, the total number of different combinations of questions a student can choose to answer on the exam is 11 (6 + 5). This is calculated by taking into account the requirement of answering at least 4 of the first 5 questions and the total number of questions that must be answered, which is 8. The two possible ways of meeting this requirement are 4 from the first 5 questions and 4 from the last 7, or 5 from the first 5 questions and 3 from the last 7. Adding these two options together gives us a total of 11 possible combinations.
  • #1
Raerin
46
0
There are 12 questions on an exam, and each student must answer 8 questions including at least 4 of the first 5 questions. How many different combinations of questions could a student choose to answer?

So I got the number of ways a student can choose to answer the first 5 questions which is 6 (5C4 + 5C5). I'm not sure what else to do.
 
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  • #2
Raerin said:
There are 12 questions on an exam, and each student must answer 8 questions including at least 4 of the first 5 questions. How many different combinations of questions could a student choose to answer?

So I got the number of ways a student can choose to answer the first 5 questions which is 6 (5C4 + 5C5). I'm not sure what else to do.

The total number answered must be 8 and there are two ways of doing this with the other constraint.

1: 4 from the first 5 questions, 4 from the last 7
2: 5 from the first 5 questions, 3 from the last 7

Add up (1) and (2) and you'll get the answer.
 

Related to Test question combination question

1. What is a "Test question combination question"?

A "Test question combination question" is a type of question that combines multiple concepts or topics into one question, often used to assess a person's understanding and ability to apply knowledge in various areas.

2. How is a "Test question combination question" different from a regular test question?

Unlike a regular test question that focuses on one specific topic or concept, a "Test question combination question" covers multiple topics or concepts in one question, making it more challenging and comprehensive.

3. What is the purpose of using "Test question combination questions"?

The purpose of using "Test question combination questions" is to evaluate a person's critical thinking skills, their ability to connect different concepts, and their overall understanding of various subject matters.

4. How should one approach a "Test question combination question"?

To approach a "Test question combination question," it is essential to read and understand each part of the question carefully. Then, break down the question into smaller parts and identify the key concepts and connections between them. Finally, use your knowledge and critical thinking skills to answer the question.

5. Can "Test question combination questions" be used in all subjects?

Yes, "Test question combination questions" can be used in all subjects, from math and science to history and literature. It is a versatile type of question that can be adapted to assess different areas of knowledge.

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