A spymaster has a network of 7 operatives whom he pays out, Ask an Expert

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A spymaster has a network of 7 operatives whom he pays out of a slush fund containing $20000. For accounting reasons, his service requires him to use up his entire fund and to pay his operatives in integer multiples of $1000.

(a) How many different ways 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 ways can he pay his operatives?

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Statistics and Probability, Statistics

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