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Ishaan94
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First answer (by Anders) on http://www.quora.com/Mathematics/HowwouldIshowthat49divides8n7n1forallnge0
Can anyone explain it to me? Hints'd be appreciated.
 2 years ago
 2 years ago
Ishaan94 Group Title
First answer (by Anders) on http://www.quora.com/Mathematics/HowwouldIshowthat49divides8n7n1forallnge0 Can anyone explain it to me? Hints'd be appreciated.
 2 years ago
 2 years ago

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Ishaan94 Group TitleBest ResponseYou've already chosen the best response.0
@mukushla @KingGeorge @Zarkon
 2 years ago

mukushla Group TitleBest ResponseYou've already chosen the best response.1
can u type the equation here plz :)
 2 years ago

Ishaan94 Group TitleBest ResponseYou've already chosen the best response.0
@mukushla try again.
 2 years ago

Ishaan94 Group TitleBest ResponseYou've already chosen the best response.0
I am not concerned with problem as much as its solution on Quora. And No @nincompoop
 2 years ago

mukushla Group TitleBest ResponseYou've already chosen the best response.1
thats not a true statement of binomial theorem\[8^n=(1+7)^n=\sum_{k=0}^{n} \left(\begin{matrix}n \\ k\end{matrix}\right) 7^n\]right?
 2 years ago

Ishaan94 Group TitleBest ResponseYou've already chosen the best response.0
I am pretty sure, it is.
 2 years ago

mukushla Group TitleBest ResponseYou've already chosen the best response.1
oops sorry that should be\[8^n=(1+7)^n=\sum_{k=0}^{n} \left(\begin{matrix}n \\ k\end{matrix}\right) 7^k\]
 2 years ago

Ishaan94 Group TitleBest ResponseYou've already chosen the best response.0
oh yeah. k. lol
 2 years ago

Ishaan94 Group TitleBest ResponseYou've already chosen the best response.0
but that's not what concerns me. it's the first answer by Anders i am unable to understand.
 2 years ago

mukushla Group TitleBest ResponseYou've already chosen the best response.1
oh sorry man lol :) im sooo blind
 2 years ago

mukushla Group TitleBest ResponseYou've already chosen the best response.1
i cant understand it :)
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.0
\[ 8^n=(1+7)^n=\sum_{k=0}^{n} \left(\begin{matrix}n \\ k\end{matrix}\right) 7^n = 1 + 7n + O(7^{(n \geq 2)})\]
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.1
Sai Ganesh explanation also no good, right?
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.0
\( O(7^{(n \geq 2)}) \) is always divisible by 49
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.1
Yes, sorry, I was directing at Ishaan (he wants an "octal" explanation)
 2 years ago

Ishaan94 Group TitleBest ResponseYou've already chosen the best response.0
Yeah. It didn't help my puny brain much :(
 2 years ago

Ishaan94 Group TitleBest ResponseYou've already chosen the best response.0
@him1618 maybe you can?
 2 years ago

him1618 Group TitleBest ResponseYou've already chosen the best response.0
the explanation is good enough
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.1
I have to say that the binomial answer is much more natural, it would not occur to me to set out on an octal adventure for that particular problem....
 2 years ago

Ishaan94 Group TitleBest ResponseYou've already chosen the best response.0
Specifically, I don't understand how did he conclude 'The rest can be divided into equal groups based on their first two nonzero digits.'
 2 years ago

Ishaan94 Group TitleBest ResponseYou've already chosen the best response.0
... 49* equal groups ...
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.1
you got rid of the 0's so you got 7 digits left you can set, right?
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.1
So if all the numbers are divisible into 49 groups, then divisibilty by 49 follows. At least, that's what I think it says.
 2 years ago

Ishaan94 Group TitleBest ResponseYou've already chosen the best response.0
Okay, one silly doubt. Why is he using only first two digits for grouping?
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.1
because 7*7 = 49
 2 years ago

Ishaan94 Group TitleBest ResponseYou've already chosen the best response.0
i was acting foolishly yesterday :( thanks.
 2 years ago
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