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Pigeonhole principle can be applied in the following computer science algorithms:

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Pigeonhole principle can be applied in the following computer science algorithms:

(a) hashing algorithm

(b) lossless compression algorithm

(c) both (a) and (b)

(d) none of the mentioned

I had been asked this question during an interview.

Query is from Applications of Pumping Lemma/Pigeonhole principle topic in section Properties of Regular Languages of Automata Theory

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Correct answer is (c) both (a) and (b)

Explanation: Collisions are inevitable in a hash table because the number of possible keys exceeds the number of indices in the array.

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