Vabljeni na prvo predavanje Famnitovih izletov v matematično vesolje z naslovom The role of dice in world domination - a case study of Risk: the board game. Predavanje bo potekalo v sredo, 21. januarja 2026 ob 16.00, v Veliki predavalnici 3, UP FAMNIT in prek ZOOM povezave. Predaval bo Dr. Balázs Dávid, InnoRenew CoE, UP FAMNIT in UP IAM
“Cikel poljudnih predavanj o matematiki in njeni vlogi v sodobnem svetu”
Prime divisibility of binomial coefficients
natisni
Sreda, 23. marec 2022, ob 18.00, Velika predavalnica 3, UP FAMNIT / ZOOM povezava
Prime divisibility of binomial coefficients
Dr. Russ Woodroofe, UP FAMNIT
How many ways are there to pick k objects out from a bin of n objects? The answer is given by the binomial coefficient "n choose k". We have shown you how to easily determine whether a binomial coefficient is divisible by a prime, even when the numbers involved are quite large. We have applied this criterion to a problem that arose in Dr. Woodroofe's work with John Shareshian. The distribution of prime numbers has made an unexpected cameo appearance.
