In this chapter we count sequences and sharings, collections and compositions, furnishing many applications and examples. Factorials and binomial coefficients are, on the one hand, indispensable tools for such counting problems, and, on the other hand, their combinatorial interpretation gives a valuable contribution in suggesting and proving many useful identities both concerning sums or alternating sums of binomials and their products.
Counting sequences and collections
Mariconda C.;Tonolo A.
2016
Abstract
In this chapter we count sequences and sharings, collections and compositions, furnishing many applications and examples. Factorials and binomial coefficients are, on the one hand, indispensable tools for such counting problems, and, on the other hand, their combinatorial interpretation gives a valuable contribution in suggesting and proving many useful identities both concerning sums or alternating sums of binomials and their products.
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