New Home Forums Math Olympiad - IOQM Number Theory Pigeon hole principle

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  • #72939
    Crazy Gamer
    Participant

    please solve the problem using pegion hole principle

    #72975
    Cheenta Support
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    Due to some backend problems we are unable to answer your queries,we will get back to you ASAP.

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    CHEENTA TEAM.

    #73045
    Saumik Karfa
    Participant

    A square with side $1$m can be divided into $25$ squares of side $20$ cm. Now Take number of points as pigeons, ie, 51, and number of small squares i.e., 25. as holes.

    If you want to put $25 \times 2+1$ pigeons into $25$ holes then there will be at least one hole which contains $2+1=3$ pigeons.

    Then there will be $1$ small square which can cover set of $3$ points.

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