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Knowledge
The discussion centers around the problem of counting grid paths in a rectangular grid, focusing on movements from the bottom left corner to the top right corner with specific rules. It explores combinatorial methods to calculate the number of unique paths, including scenarios where certain intersections are blocked. The concepts of inclusion and exclusion are introduced to account for multiple blocked intersections and their effect on path counting.
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Sections
References
ch46 part a.pdfClass Notes
Memorization
What we have learnt
- Grid paths can be counted u...
- Paths can be calculated bas...
- The inclusion-exclusion pri...
Final Test
Revision Tests
What we have learnt
- Grid paths can be counted using combinatorial methods.
- Paths can be calculated based on choosing positions for movements, either right or up.
- The inclusion-exclusion principle helps to manage blocked paths when multiple intersections are involved.
Key Concepts
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Term: Grid Path Counting
Definition: A method to determine the number of unique paths in a grid under certain movement constraints.
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Term: Combinatorics
Definition: A branch of mathematics dealing with combinations and arrangements of objects.
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Term: InclusionExclusion Principle
Definition: A counting technique used to find the number of elements in the union of multiple sets by including and excluding overlaps.