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If mn+1 pairs of letters are written down,each pair consisting of one chosen from the m letters a1,a2,....and the other from letters b1,b2,.....bn , then show that there are at least two pairs identical.

#Mathematics #Algebra

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Lokesh Verma ·2008-11-01 00:07:31

The maximum number of unique pairs that can be made is m.n.

Hence, the number of pairs will be mn

but since we need mn+1 pairs it has to come from repetition of one of these mn pairs

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eureka123 ·2008-11-01 04:47:16

thanks

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