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📅 May 4, 2026 👤 scraface

May 04, 2026

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= 243 - 3 \cdot 32 + 3 \cdot 1 = 243 - 96 + 3 = 150
Alternatively, using Stirling numbers of the second kind:
\(S(5,3)\) counts partitions into 3 non-empty subsets: \(S(5,3) = 25\)...
Then assign the 3 subsets to the 3 distinct environments: \(3! = 6\),
So total: \(25 \times 6 = 150\).
Thus, the number of distinct schedules is \(\boxed{150}\).Question: Ho...
Solution: We are looking for integers $ n $ such that $ n \equiv 2 \pm...
The sequence of such numbers is $ 2, 7, 12, \dots, $ forming an arithm...
Let the general term be $ a_k = 2 + (k - 1) \cdot 5 = 5k - 3 $.
We want $ a_k \leq 100 $, so:

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