Cinkir, Zubeyir2026-01-202026-01-2020250970-12492320-3110https://hdl.handle.net/20.500.12573/5761Lucas's Theorem is about finding the result of a binomial coefficient modulo a prime p efficiently. The result is expressed as a product of binomial coefficients involving the base p expansions of the parameters of the original binomial coefficient. We give an elementary proof of Lucas's Theorem by deriving an analogous Vander-monde identity modulo a prime number.eninfo:eu-repo/semantics/closedAccessArticle