Let `N` be the number of ways in which 10 different prizes be given to 5 students, so that one boy get exactly 4 prizes and the rest of the students can get any number of prizes. Then `N` is divisible by

Options

A. 900
B. 400
C. 1200
D. 1400

Explanation

To solve the problem of distributing 10 different prizes to 5 students such that one student receives exactly 4 prizes, we can break down the solution into clear steps:

### Step-by-Step Solution:

1. **Choose the Student Who Gets 4 Prizes**:
- We have 5 students. We need to select one student to receive exactly 4 prizes.
- The number of ways to choose this student is \(5\).

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