So I was buying some stuff from 7/11, looked at my change, then got wondering. altho this might be a useless question, and i dont really know what field this belongs to, lets say a currency system exist where theres a diverse variations of denominations but no 0 or lower, (1,2,3,4,5....) how many combinations of denominations would it take to get a sum of 20,30, x . . . and also, if a denominatio is 1 "object" , how many unique number of denominations would there be for 20 or x, eg. both 1 + 19 && 2x10 both have 2 denominations and as such count as the same number of objects, sorry if it sounds stupid, i just cant get it out of my head