Counting Boolean functions by the number of ones
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Problem 121 from Дехтярь М.И., Дудаков С.М., Карлов М.И., Карлов Б.Н. "Задачник по дискретной математике" [ДДК+21]More problems in Chapter 4 "Propositional Logic and Boolean Functions"
Find the number of -ary Boolean functions taking value 1 on exactly tuples.
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References
[ДДК+21] Дехтярь М.И., Дудаков С.М., Карлов М.И., Карлов Б.Н. Задачник по дискретной математике. 2-е изд., Тверской государственный университет, 2021.