In an examination, a question paper consists of 12 questions divided into two parts i.e., Part I and Part II, containing 5 and 7 questions, respectively. A student is required to attempt 8 questions in all, selecting at least 3 from each part. In how many ways can a student select the questions?

Explanation

To solve the problem, we need to determine the number of ways a student can select 8 questions from two parts of a question paper, ensuring that they select at least 3 questions from each part.

**Step 1: Understand the problem and set up the cases.**
We have:
- Part I: 5 questions
- Part II: 7 questions
- Total questions to attempt: 8
- Minimum questions from each part: 3
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