How many different ways can he bribe


A Russian SVR agent has 45 million dollars which he can spend to bribe academics, politicians, and bloggers to spread disinformation and to promote anti-American propaganda. He has budgeted 15 million to "funding" academics, 25 million for journalists, and 5 million for bloggers. Assume an academic "grant" for an academic is 1 million dollars, 5 million dollars to fund a journalist, and 1,000 dollars for a blogger. The agent is considering potentially paying 500 different academics, 200 different journalists, and 10,000 different bloggers, but he is constrained by his budget. In how many different ways can he bribe academics, journalists, and bloggers?

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