Search found 190 matches
- Thu Mar 08, 2012 9:03 am
- Forum: Geometry
- Topic: condition for collinear
- Replies: 1
- Views: 1760
condition for collinear
This post is for posting the conditions for collinear . In math Olympiads, we often face the problems where we need to prove some points are collinear . Here , we will give conditions for collinear . Thus, we can get all the conditions for collinear . I am starting below. Members are requested to po...
- Thu Mar 08, 2012 8:57 am
- Forum: College / University Level
- Topic: Twin prime are infinite.
- Replies: 17
- Views: 19176
Re: Twin prine are infinite.
এই ভুলটা আমিও করেছিলাম ।। সবাই জাফর ইকবাল স্যারের " তোমাদের প্রশ্ন , আমার উত্তর " বইটা পড়ে দেখ, স্যার বইটার শেষের দিকে বিষয়টা খুব সুন্দর করে বুঝিয়ে দিয়েছেন ।
- Thu Mar 08, 2012 8:54 am
- Forum: College / University Level
- Topic: Twin prime are infinite.
- Replies: 17
- Views: 19176
Re: Twin prine are infinite.
2*3*5*7*11*13+1=30031=59*509.
so, is 30031 a prime ?
so, is 30031 a prime ?
- Sun Mar 04, 2012 4:13 am
- Forum: Combinatorics
- Topic: DISTRIBUTION OF CARDS
- Replies: 8
- Views: 5074
Re: DISTRIBUTION OF CARDS
4 identical card can be distributed in c(5,4) ways (by the last solution of nafistiham ). is it true ?? think about it tiham.
- Sat Mar 03, 2012 8:56 pm
- Forum: Combinatorics
- Topic: DISTRIBUTION OF CARDS
- Replies: 8
- Views: 5074
Re: DISTRIBUTION OF CARDS
Your solution is wrong , Tiham.
- Sat Mar 03, 2012 8:51 pm
- Forum: Junior Level
- Topic: N(1234...20112012)
- Replies: 4
- Views: 3307
Re: N(1234...20112012)
There is a quote in a book about combinatorics " Often, counting the cases of the problem is also a great combinatorial problem." I think, this is such a problem. হা হা হা ......।।
- Sat Mar 03, 2012 2:57 am
- Forum: Combinatorics
- Topic: DISTRIBUTION OF CARDS
- Replies: 8
- Views: 5074
DISTRIBUTION OF CARDS
Find the numbers of distributions of 52 identical cards to four distinct people if each person must receive at least five cards.
- Sat Mar 03, 2012 12:29 am
- Forum: Junior Level
- Topic: N(1234...20112012)
- Replies: 4
- Views: 3307
Re: N(1234...20112012)
I give answer of first question.WE can think about the problem in a way that we want to count the number of 2's form 1 to 2002. when , once 2 will be considered in a number a time, it will not be considered again. we will think for the numbers where 2 is presented more than one time later. a)First, ...
- Fri Mar 02, 2012 11:19 pm
- Forum: Number Theory
- Topic: AN INTERESTING PROBLEM BY DORIN ANDRICA
- Replies: 0
- Views: 1420
AN INTERESTING PROBLEM BY DORIN ANDRICA
Prove that , all the equations $ x^6+ax^4+bx^2+c = y^3 $ where $ a\in$ {3,4,5} , $b\in ${4,5,..,12} ,$ c\in ${1,2,..,8 } are not solvable.
- Fri Mar 02, 2012 11:11 pm
- Forum: Number Theory
- Topic: POLISH MATHEMATICAL OLYMPIAD
- Replies: 1
- Views: 2395
POLISH MATHEMATICAL OLYMPIAD
Find all integers (a,b,c,x,y,z) such that a+b+c=xyz & x+y+z=abc where $ a\ge b\ge c\ge 1 $ ,$ x\ge y\ge z\ge 1 $.