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Home » 若速度恒定，且每次搬运耗时相同，设每次耗时 $t$ 秒， - 500apps

若速度恒定，且每次搬运耗时相同，设每次耗时 $t$ 秒， - 500apps

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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Number of ways: \(\binom{4}{4} = 1\), and only one way to assign indis...
\(3,1\) → (3,1,0): One archive has 3, another has 1
Number of ways: \(\binom{4}{3} = 4\) (choose 3 to go to the 3-element...
Since the two non-empty groups have different sizes, no symmetry — all...
\(2,2\) → (2,2,0): Two archives have 2 each, one empty
Number of ways: \(\frac{1}{2} \binom{4}{2} = \frac{1}{2} \cdot 6 = 3\)...
Alternatively: number of ways to partition 4 labeled items into two un...
\frac{1}{2} \binom{4}{2} = 3
\(2,1,1\) → (2,1,1): One archive has 2, two have 1
Number of ways: Choose the pair: \(\binom{4}{2} = 6\), then assign the...

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