given five workers with five tasks with the constraints that Worker 1 cannot do task 1, worker 2 cannot do task 5, worker 3 cannot do tasks 2 and 3, worker 4 cannot do task 1 and 5, and worker 5 cannot do tasks 3 and 4. compute the rook polynomial and use it to compute the number of feasible assignments.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Discrete Mathematics

given five workers with five tasks with the constraints that Worker 1 cannot do task 1, worker 2 cannot do task 5, worker 3 cannot do tasks 2 and 3, worker 4 cannot do task 1 and 5, and worker 5 cannot do tasks 3 and 4. compute the rook polynomial and use it to compute the number of feasible assignments.

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