Difference between revisions of "Constructive counting"
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| − | '''Constructive counting''' is counting the number of integers, lists, etc., that satisfy a certain property by "constructing" it. This strategy is useful for complicated counting or combinatorics questions, as the problem can be broken down into cases, the number of possibilities in each case can be computed, and those numbers can be summed to find the final answer. | + | In [[combinatorics]], '''Constructive counting''' is counting the number of integers, lists, etc., that satisfy a certain property by "constructing" it. This strategy is useful for complicated counting or combinatorics questions, as the problem can be broken down into cases, the number of possibilities in each case can be computed, and those numbers can be summed to find the final answer. |
== Examples == | == Examples == | ||
Revision as of 16:32, 18 May 2021
In combinatorics, Constructive counting is counting the number of integers, lists, etc., that satisfy a certain property by "constructing" it. This strategy is useful for complicated counting or combinatorics questions, as the problem can be broken down into cases, the number of possibilities in each case can be computed, and those numbers can be summed to find the final answer.
Examples
This video is a great introduction to permutations, combinations, and constructive counting: https://www.youtube.com/watch?v=t6a4uHEwQnM&t=1868s
See also
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