Number Set

Discussion on Bangladesh Mathematical Olympiad (BdMO) National
willpower
Posts:30
Joined:Tue Nov 01, 2011 6:30 pm
Location:Pakistan
Number Set

Unread post by willpower » Wed Nov 02, 2011 12:54 pm

How many solutions has the equation A ∪ B = {1, 2, 3, 4}?
Remember: (two solutions (A1, B1) and (A2, B2) are different if and only if A1 =6 A2 or B1 =6 B2 ; for instance, A1={1, 3, 4}, B1 = {1, 2, 4} and A2 = {1, 2, 4}, B2 = {1, 3, 4} are different solutions.)
Everybody is a genius; but if you judge a fish on its ability to climb a tree, it will live its entire life believing that it is stupid. - Albert Einstein

User avatar
Fahim Shahriar
Posts:138
Joined:Sun Dec 18, 2011 12:53 pm

Re: Number Set

Unread post by Fahim Shahriar » Mon Jan 02, 2012 12:24 am

81 solutions.

tanmoy
Posts:312
Joined:Fri Oct 18, 2013 11:56 pm
Location:Rangpur,Bangladesh

Re: Number Set

Unread post by tanmoy » Tue Jan 28, 2014 7:33 pm

Please post the full solution
"Questions we can't answer are far better than answers we can't question"

Post Reply