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If n objects are distributed over m places, and n < m, then some of the places receive:

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If n objects are distributed over m places, and n < m, then some of the places receive:

(a) at least 2 objects

(b) at most 2 objects

(c) no object

(d) none of the mentioned

The question was asked during an online interview.

My enquiry is from Applications of Pumping Lemma/Pigeonhole principle topic in division Properties of Regular Languages of Automata Theory

1 Answer

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Correct answer is (c) no object

Explanation: This is one of the alternative formulations of the pigeon hole principle. As n < m, there will exist some place which will not receive any of the object.

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