A spymaster has network of 10 operatives whom he pays out of slush fund containing $32000. For accounting reasons, his service requires him to employ up his whole fund and to pay his operatives in integer multiples of $1000.
(a) How many different manners can he pay his operatives?
(b) Since an unpaid operative is unreliable, the spymaster decides that every operative will get at least $1000. With this rule, how many different manners can he pay his operatives?