Vaia, I've another question. In $P_2$, must $m$ and $n$ be different elements of $S$?
Turzo
Search found 69 matches
- Fri Apr 06, 2012 9:35 am
- Forum: National Math Camp
- Topic: BOMC-2012 Test Day 2
- Replies: 14
- Views: 8985
- Fri Apr 06, 2012 7:55 am
- Forum: National Math Camp
- Topic: BOMC-2012 Test Day 2
- Replies: 14
- Views: 8985
Re: BOMC-2012 Test Day 2
@Nayel vaia, একটা জিনিস বুঝি নাই। $P_3$ তে $partitioning$ বলতে কী বুঝানো হয়েছে? এখানে কি $m-gon$গুলোর $vertex$ হিসেবে এমন কোন বিন্দু নেয়া যাবে যেটা ঐ $n-gon$টার $vertex$ না???
Turzo
Turzo
- Tue Apr 03, 2012 8:57 pm
- Forum: National Math Camp
- Topic: IMO SL N4(2008)
- Replies: 2
- Views: 2767
Re: IMO SL N4(2008)
Oh-ho!!! I made serious mistake . It's actually $2^{n}$, not $2$. I've just edited it.
Turzo
Turzo
- Tue Apr 03, 2012 7:08 pm
- Forum: National Math Camp
- Topic: IMO SL N4(2008)
- Replies: 2
- Views: 2767
IMO SL N4(2008)
This problem maybe quite easy but I've not solved it yet.
Let $n$ be a positive integer. Show that the numbers
\[\binom{2^n-1}{0},\binom{2^n-1}{1},\binom{2^n-1}{2},\cdot \cdot \cdot ,\binom{2^n-1}{2^{n-1}-1}\]
are congruent modulo $2^{n}$ to $1,3,5,\cdot \cdot \cdot ,2^{n}-1$ in some order.
Turzo
Let $n$ be a positive integer. Show that the numbers
\[\binom{2^n-1}{0},\binom{2^n-1}{1},\binom{2^n-1}{2},\cdot \cdot \cdot ,\binom{2^n-1}{2^{n-1}-1}\]
are congruent modulo $2^{n}$ to $1,3,5,\cdot \cdot \cdot ,2^{n}-1$ in some order.
Turzo
- Tue Apr 03, 2012 10:51 am
- Forum: Social Lounge
- Topic: Nayel's Birthday
- Replies: 11
- Views: 7908
Re: Nayel's Birthday
আজ আমাদের নায়েল ভাইয়ের জন্মদিন!!!!!!!!!!! আমার পক্ষ থেকে তাকে $23^{23}$ টি (যেহেতু আনুমানিক 23তম জন্মদিন) নীল গোলাপের (নীল গোলাপও উদ্ভাবিত হয়েছে বলে শুনেছি!!) শুভেচ্ছা ।
Turzo
Turzo
- Mon Apr 02, 2012 7:01 pm
- Forum: International Mathematical Olympiad (IMO)
- Topic: Shortisted Problems of IMO-2011
- Replies: 10
- Views: 7322
Re: Shortisted Problems of IMO-2011
I agree with Tahmid vaia. Because probably in the last national camp, I've seen 'some' of them 'somewhere' but I'm not sure.
- Mon Apr 02, 2012 6:34 pm
- Forum: International Mathematical Olympiad (IMO)
- Topic: Shortisted Problems of IMO-2011
- Replies: 10
- Views: 7322
Shortisted Problems of IMO-2011
I didn't find the shortlisted problems of $IMO-2011$ anywhere.I have only the contest problems and their solutions.
Can anyone of you please give me any link for this?
(Actually I'm not sure whether they've been published or not.)
Turzo
Can anyone of you please give me any link for this?
(Actually I'm not sure whether they've been published or not.)
Turzo
- Sun Apr 01, 2012 11:42 pm
- Forum: Social Lounge
- Topic: Chess forum
- Replies: 7
- Views: 5974
Re: Chess forum
আমি তো দাবা খেলার কিছুই পারি না । কোনদিন seriously দাবা খেলিও নাই, খেলার আগ্রহও প্রকাশ করি নাই । এখন কি এইখানে আমি দাবার অআকখ শিখতে পারব
Turzo
Turzo
- Sun Apr 01, 2012 11:26 pm
- Forum: National Math Camp
- Topic: China-1990-1
- Replies: 4
- Views: 3835
Re: China-1990-1
@sm.joty vaia,
There must be a problem in your problem. So, please correct it.
Turzo
There must be a problem in your problem. So, please correct it.
Turzo
- Sun Apr 01, 2012 7:57 am
- Forum: National Math Camp
- Topic: Advanced P-1 (BOMC-2)
- Replies: 10
- Views: 7345
Re: Advanced P-1 (BOMC-2)
Solution to $b$
Turzo