Dhaka Higher Secondary 2011/3

Problem for Higher Secondary Group from Divisional Mathematical Olympiad will be solved here.
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Please don't post problems (by starting a topic) in the "Higher Secondary: Solved" forum. This forum is only for showcasing the problems for the convenience of the users. You can post the problems in the main Divisional Math Olympiad forum. Later we shall move that topic with proper formatting, and post in the resource section.
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Avik Roy
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Re: Dhaka Higher Secondary 2011/3

Unread post by Avik Roy » Sun Jan 30, 2011 9:18 pm

Good Solution Hasib...and congratz for that one
Even some of the exam controllers got confused with this problem ;)
"Je le vois, mais je ne le crois pas!" - Georg Ferdinand Ludwig Philipp Cantor

Hasib
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Re: Dhaka Higher Secondary 2011/3

Unread post by Hasib » Sun Jan 30, 2011 9:48 pm

Avik Roy wrote:Good Solution Hasib...and congratz for that one
Even some of the exam controllers got confused with this problem ;)
yahooo! But, most importantly i found the solution while i was in bathroom :P i am feeling proud ;)
A man is not finished when he's defeated, he's finished when he quits.

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Tahmid Hasan
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Re: Dhaka Higher Secondary 2011/3

Unread post by Tahmid Hasan » Sun Jan 30, 2011 10:19 pm

now i can see that a genius is coming to the math era of Bangladesh from Khulna.
বড় ভালবাসি তোমায়,মা

Hasib
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Re: Dhaka Higher Secondary 2011/3

Unread post by Hasib » Sun Jan 30, 2011 10:28 pm

if the boy go, then also another boy will go; invesely if another boy go then the boy will go. Since u r my brain twin :shock: :loll:
A man is not finished when he's defeated, he's finished when he quits.

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leonardo shawon
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Re: Dhaka Higher Secondary 2011/3

Unread post by leonardo shawon » Sun Jan 30, 2011 11:43 pm

whats the problem with my sollution bro...?:o
Ibtehaz Shawon
BRAC University.

long way to go .....

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Zzzz
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Re: Dhaka Higher Secondary 2011/3

Unread post by Zzzz » Mon Jan 31, 2011 9:48 am

leonardo shawon wrote:whats the problem with my sollution bro...?:o
You wrote $P(A)=\{\Phi, emptyset\}$

Its wrong. Simply think, if $A=\{a\}$ what would be its power set? the $P(A)$ would be $\{\{a\},\Phi\}$ right?
Here $a$ is the only element of $A$. In our main problem $\Phi$ was also only element of $A$, so we should write

$P(A)=\{\{\Phi\}, \Phi\}$

btw, $\Phi$ and $emptyset$ means same thing. You need not to write both of them as element of a set.
Every logical solution to a problem has its own beauty.
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leonardo shawon
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Re: Dhaka Higher Secondary 2011/3

Unread post by leonardo shawon » Mon Jan 31, 2011 10:30 am

thaaaaaaaankk yooouuu
Ibtehaz Shawon
BRAC University.

long way to go .....

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