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    Choose any 38 different natural numbers less than 1000. Prove by using the Pigeonhole Principle that among the selected numbers there exist at least two whose difference is at most 26.#

    im struggling to apply the pigeonhole principle to this scenario any help would be appreciated
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    Each pigeon hole is a consecutive range of 27 numbers ie. Pigeon hole 1: 1-27, Pigeon hole 2: 28-54 etc.
    This gives 37 pigeon holes.
    You can do the rest
 
 
 
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