*****( ) the binomial coefficient is which is equal to the number of different combinations one can define by choosing different items from collection of items (where the order does not matterthe name "binomial coefficientderives from the binomial expansionwe also have the following relationships proposition if <= <nthen proposition (stirling' approximation)where (nis ( / the fibonacci progression is numeric progression such that and - for > proposition if is defined by the fibonacci progressionthen is th(gn)where ( )/ is the so-called golden ratio