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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 mentionedThe 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

Answer»

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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