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How To Fix Plaid Not Linking Bank Account To Fidelity
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Question: A philosopher of science considers a function $ f $ satisfying $ f(x + y) = f(x) + f(y) $ for all real $ x, y $, and $ f(1) = 1 $. Find $ f(2025) $.
Solution: Since the groups are indistinguishable and each must receive at least one project, the problem reduces to partitioning 6 distinct projects into 4 non-empty subsets. This is given by the Stirling numbers of the second kind, $ S(6, 4) $. The formula for $ S(n, k) $ is:
Plugging in $ n = 6 $ and $ k = 4 $:

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