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Search options not deleted user 5296

Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.

-1 votes
1 answer
377 views

partition of a set

First, we see this example. Suppose we have a set of 6 elements, we can get 3 subsets of it, each of which has 2 elements, but no two sets overlap. But if our set has 5 elements, we want to get 3 subs …
mingming's user avatar
-4 votes
1 answer
631 views

Solution to $ \sum (-1)^k \binom{n}{k} \alpha_k = b_n$? [closed]

Is there anyone can tell me any information about the integer solution to the combinatotial equation $$ \sum (-1)^k \binom{n}{k} \alpha_k = b_n $$ (all variables are integers)? For example, suppose a …
mingming's user avatar