In how many ways can 30 marks be allotted to 8 question if each question carries at least 2 marks?

Options

A. `""^(21)C_(7)`
B. `""^(21)C_(8)`
C. `""^(21)C_(9)`
D. none of these

Explanation

To solve the problem of how many ways 30 marks can be allotted to 8 questions, where each question carries at least 2 marks, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Problem**: We have 8 questions, and each question must receive at least 2 marks. Therefore, we first allocate 2 marks to each question.

2. **Initial Allocation**: Since there are 8 questions, the total marks allocated initially is:
\[
...