Advances in Applied Combinatorics talks about the subject of binomial coefficients, permutations, the combinational proofs, the graph theory, derangements, partitions, linear recurrences, graph algorithms and permutation groups, to give a far-fetched insight on applied combinatorics. This book also discusses about the fractional sums and the differences, harmonic numbers and the cubed binomial coefficients, the recursive algorithms, linear recurrences and the fibonacci numbers. The generating functions and the sequence of numbers and polynomials.