## বিয়ে

For discussing Olympiad Level Combinatorics problems
ahmedittihad
Posts: 181
Joined: Mon Mar 28, 2016 6:21 pm

### বিয়ে

You are given a \$10\$*\$10\$ grid with the property that in every row, exactly three squares are shaded, and in every column, exactly 3 squares are shaded. Prove that you can select 10 if these shaded squares so that each of them are in different rows and columns.
Frankly, my dear, I don't give a damn.

SN.Pushpita
Posts: 11
Joined: Thu Aug 10, 2017 1:44 pm

### Re: বিয়ে

Are you proud of your knowledge regarding Hall's Marriage Lemma?:p

samiul_samin
Posts: 1007
Joined: Sat Dec 09, 2017 1:32 pm

### Re: বিয়ে

Partial Solution
I don't know how to use Hall's Marriage Lemma and I can't prove this completely. Please,any one help to solve this.

ahmedittihad
Posts: 181
Joined: Mon Mar 28, 2016 6:21 pm

### Re: বিয়ে

SN.Pushpita wrote:
Thu Feb 15, 2018 1:38 pm
Are you proud of your knowledge regarding Hall's Marriage Lemma?:p
Yes, yes I am proud of my knowledge of marriage procedures.
Frankly, my dear, I don't give a damn.

SN.Pushpita
Posts: 11
Joined: Thu Aug 10, 2017 1:44 pm

### Re: বিয়ে

ahmedittihad wrote:
Sat Feb 17, 2018 1:41 am
SN.Pushpita wrote:
Thu Feb 15, 2018 1:38 pm
Are you proud of your knowledge regarding Hall's Marriage Lemma?:p
Yes, yes I am proud of my knowledge of marriage procedures.
Dude, it isn't mathoscope

ahmedittihad
Posts: 181
Joined: Mon Mar 28, 2016 6:21 pm

### Re: বিয়ে

SN.Pushpita wrote:
Mon Feb 19, 2018 12:45 pm
Dude, it isn't mathoscope
But I'm still the same guy.
Frankly, my dear, I don't give a damn.

samiul_samin
Posts: 1007
Joined: Sat Dec 09, 2017 1:32 pm

### Re: বিয়ে

SN.Pushpita wrote:
Mon Feb 19, 2018 12:45 pm

Dude, it isn't mathoscope
What is mathoscope?