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fairfield inn new york jfk airport ny - NBX Soluciones

📅 May 6, 2026 👤 scraface

May 06, 2026

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📌 $\{1,2\}, \{3,4\}$

📌 $\{1,3\}, \{2,4\}$

📌 $\{1,4\}, \{2,3\}$

📌 Total: $7$ partitions. Since the slots are indistinct, these are all valid and distinct only by labeling of the subsets.

📌 So total number of configurations is:

📌 S(4,1) + S(4,2) = 1 + 7 = 8

📌 Thus, the number of distinct configurations is $\boxed{8}$.

📌 Question: A science administrator evaluates 6 unique grant proposals and wishes to distribute them into 3 identical review teams, with each team receiving at least one proposal. How many ways can this be done?

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