Distributing 25 Books to 5 Students: Step-by-Step Guide

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Homework Statement



How many ways are there to sistribute 25 identical books among five students so that the first student receives at least four books, the second student receives at least three books, and the fifth student receives exacly two books. Show your work step by step.

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The Attempt at a Solution

 
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What are your ideas on how to attack this problem?
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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