Question

2. Consider the problem of counting the ways to distribute 31 identical objects into 6 boxes...

2. Consider the problem of counting the ways to distribute 31 identical objects into 6 boxes with at least objects in each box.
a) Model this problem as an integer-solution-of-equation-problem.
b) Model this problem as a certain coefficient of a generating function.
c) Solve this problem.

The answer is a) e1+. . +e6=31, ei>=3;

b) (x^3 + x^3...)^6, coef x^31;

c) C(13+6-1,13);

Please show me how to get the answer, thanks. It's for my midterm, so it's important.

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Answer #1

B6 A3 given balls ae kdenticd, fixrof all ae asti disbibute 3 halls in each hox, os a seult only 13 D3xhsi bulion of 13 denta

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