Search found 52 matches
- Sun Feb 06, 2011 9:46 pm
- Forum: Combinatorics
- Topic: quick reply needed- circular permutation
- Replies: 6
- Views: 5185
Re: quick reply needed- circular permutation
It is not correct as you have to deduct cases where there are less than five couples sitting together. Note that, I did not mention anything about Lucas Theorem. It is about "Lucas's Problem of Marriage Couple", which is quite different from his many theorems. Good try though. You are close, keep tr...
- Sun Jan 30, 2011 1:52 pm
- Forum: H. Secondary: Solved
- Topic: Dhaka Higher Secondary 2011/7
- Replies: 5
- Views: 10389
Re: Dhaka Higher Secondary 2011/7
I think, either way (whichever understanding of the question we assume), your solution is wrong although I believe you can fix it. If you are really stuck where is the mistake, here is a pointer: To calculate the probability of Arjun winning in n + 1 shots, you must take into account that Karna will...
- Sat Jan 29, 2011 2:08 pm
- Forum: College / University Level
- Topic: ordering
- Replies: 1
- Views: 4448
Re: ordering
I think all of them are true. A sketch of the proof will be as follows:
- Fri Jan 28, 2011 10:28 pm
- Forum: Divisional Math Olympiad
- Topic: Dhaka Divisional Higher Secondary 2011
- Replies: 15
- Views: 9509
Re: Dhaka Divisional Higher Secondary 2011
No need to do so
- Fri Jan 28, 2011 10:23 pm
- Forum: Divisional Math Olympiad
- Topic: Dhaka Divisional Higher Secondary 2011
- Replies: 15
- Views: 9509
Re: Dhaka Divisional Higher Secondary 2011
The correct answer is 106.
- Fri Jan 28, 2011 10:15 pm
- Forum: Divisional Math Olympiad
- Topic: Dhaka Divisional Higher Secondary 2011
- Replies: 15
- Views: 9509
Re: Dhaka Divisional Higher Secondary 2011
Tahmid: Your first solution was correct. The second one is wrong.
Don't worry about how many you solved during time pressure. Mathematics is not a sport. It is meant to be enjoyed.
I also failed to solve all of the problems in 75 minutes
Don't worry about how many you solved during time pressure. Mathematics is not a sport. It is meant to be enjoyed.
I also failed to solve all of the problems in 75 minutes
- Fri Jan 28, 2011 3:03 pm
- Forum: Higher Secondary Level
- Topic: Good businessman turns bad - a probability problem
- Replies: 1
- Views: 2315
Re: Good businessman turns bad - a probability problem
Maybe you mean three unsatisfactory product in the third line? Let, $P(i)$ = Probability of getting exactly $i$ bad products. Then, \[ P(0) = \frac{1}{8}, \; P(1) = \frac{3}{8}, \; P(2) = \frac{3}{8}, \; P(3) = \frac{1}{8} \] So, probability of finding $k$ products unsatisfactory, $S_k = \displaysty...
- Thu Jan 27, 2011 8:15 pm
- Forum: Combinatorics
- Topic: quick reply needed- circular permutation
- Replies: 6
- Views: 5185
Re: quick reply needed- circular permutation
You might want to check out Lucas problem of marriage couples. Removing some condition from that problem gives us this problem. So here is my solution (apologies in advance if it is wrong again!): Let, $A_i $ = Set of all permutations with at least the $i^{th}$ couple sitting together. To find the u...
- Sat Jan 22, 2011 2:06 am
- Forum: Site Support
- Topic: নীল রঙের আধিক্য :(
- Replies: 12
- Views: 9061
Re: নীল রঙের আধিক্য :(
I vote for anything except number three. So, we are even now.
- Fri Jan 21, 2011 11:32 pm
- Forum: College / University Level
- Topic: e^ipi + 1 = 0
- Replies: 11
- Views: 28941
Re: e^ipi + 1 = 0
No. It was intended for a general audience, not necessarily only you. I meant there are gaps in that proof which needs to proved (the author did not include them is because he assumed the audience knows them), but if you don't see them right now, don't worry, just know that there are gaps and you wi...