There are 11 questions in a examination paper of arithmetic. 10 questions are compulsory. How many ways can a student select 6 questions from the remaining ones?
Understand the Problem
The question discusses a scenario where there are 11 questions in an examination paper. Among these, 10 questions are compulsory and the student can select 6 out of the remaining ones. The question asks how many different ways these selections can be made.
Answer
0
Answer for screen readers
There are 0 ways to select the questions.
Steps to Solve
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Identify the total number of questions There are a total of 11 questions on the examination paper.
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Determine compulsory questions 10 of these questions are compulsory. This means that irrespective of the choices, these 10 questions must be attempted.
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Identify remaining questions After attempting the 10 compulsory questions, there is 1 question left (11 total - 10 compulsory = 1 remaining question).
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Determine selection requirements The student can select 6 questions from the remaining pool. Since there are no questions left after the compulsory ones in this scenario, the selection of 6 questions is not feasible.
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Calculate total selections Since the condition requires selecting questions from only 1 available and needing to select 6, it indicates that the selection is impossible. Thus, no valid combinations arise from the options given.
There are 0 ways to select the questions.
More Information
In this scenario, the student must complete all compulsory questions which take up almost all the options. Since only 1 question is left to pick from but needing to select 6, it makes the selection impossible.
Tips
- Mistaking the requirement to select from a larger pool when only one was available.
- Failing to account for the implication of having all but one question marked as compulsory.
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