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Discrete Mathematics & Math
Q85 / 100
What is the probabilistic method in combinatorics?
Correct! Well done.
Incorrect.
The correct answer is B) Proving combinatorial objects with desired properties exist by showing a randomly chosen object has positive probability of having those properties
B
Correct Answer
Proving combinatorial objects with desired properties exist by showing a randomly chosen object has positive probability of having those properties
Explanation
Erdős's probabilistic method: if Pr(good structure) > 0, then good structure exists. Non-constructive but powerful. Examples: Ramsey lower bounds, existence of high-girth high-chromatic graphs, graph discrepancy results.
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85/100