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← Logic & PuzzlesA server cluster distributes 10 identical incoming tasks across 3 servers. Which outcome occurs with task assignment if the number of tasks on any single server is unconstrained?
A)Fewer combinations than tasks
B)More combinations than tasks✓
C)Combinations equal the task count
D)Combinations unaffected by server count
💡 Explanation
Stars and bars counting shows there are more ways to distribute tasks than tasks themselves. Because the tasks are identical, Combinatorial explosion dictates a larger space, therefore the possible combinations greatly exceed the number of tasks, rather than being equal or less.
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