Re: Interesting Counting Puzzles (Please solve)



"dhrm77" <nobody99@xxxxxxxxxxx> writes in article <11t61n9ap5fjo54@xxxxxxxxxxxxxxxxxx> dated Sat, 21 Jan 2006 23:00:10 -0500:
>"Keith A. Lewis" <klewis@xxxxxxxxxxxxxxx> wrote in message
>news:dqugol$536$1@xxxxxxxxxxxxxxxxxxxxxx
>> "raja" <mailtorajarshi@xxxxxxxxx> writes in article
><1137828567.405200.172270@xxxxxxxxxxxxxxxxxxxxxxxxxxxx> dated 20 Jan 2006
>23:29:27 -0800:
>> >2. You are given an infinite number of cookie boxes containing either
>> >6, 9 or 440 cookies. You are allowed to use these boxes in any
>> >combination so desired. What is the maximum number of cookies that you
>> >cannot give out using the above boxes?
>>
>> Is gcd(6,9,440)=1? If not, the set of failing numbers is unbounded.
>>
>> What is gcd(6,9)? Call this D.
>>
>> The answer is 440*(D-1)-D.
>
>If I follow you correctly, you're saying the answer should be 877...
>But how do you do 883 ?

Hmmm, good point! My formula needs work.

--Keith Lewis klewis {at} mitre.org
The above may not (yet) represent the opinions of my employer.
.



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