AMC 2006

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tushar7
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AMC 2006

Unread post by tushar7 » Sat Jan 15, 2011 7:54 pm

Six distinct positive integers are randomly chosen between 1 and 2011, inclusive. What is the probability that some pair of these integers has a difference that is a multiple of 5?
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Moon
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Re: AMC 2006

Unread post by Moon » Sat Jan 15, 2011 11:16 pm

I believe that you meant one pair by some pair. Then the probability should be $1$, as there must be two numbers, (by PHP) which have the same residue$\pmod 5$.
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