Find the number of possible 4x4 matrices such that :

1) each row has two 0's and two 1's
2) each column has two 0's and two 1's
3) sum of elements in each row = sum of elements in each column = 2

Question

Find the number of possible 4x4 matrices such that :

1) each row has two 0's and two 1's
2) each column has two 0's and two 1's
3) sum of elements in each row = sum of elements in each column  = 2

ganeshie8 · Answer

example :
$$\large \begin{pmatrix} 1&1&0&0\1&1&0&0\0&0&1&1\0&0&1&1\end{pmatrix}$$

ganeshie8 · Answer

i think the 3rd constraint is redundant... but you get the idea ? ikram thinking of trying it in matlab ?

dan815 · Answer

the problem seemed more cool when its called the zero sum game =[

ikram002p · Answer

hehe sort of , im trying with my friend :P

dan815 · Answer

IRL friend?

ikram002p · Answer

IRL ?

ikram002p · Answer

ok my friend gave me this idea ,
$$\left(\begin{matrix}4 \ 2\end{matrix}\right)^2 $$

dan815 · Answer

tell her i hate her

ganeshie8 · Answer

okay have fun then :) it wont be easy to code in matlab

ikram002p · Answer

she is smarter than u :P

ganeshie8 · Answer

your friend seem to be having a good start... but thats not the answer

dan815 · Answer

hey i found an interesting thing

dan815 · Answer

|dw:1414659790068:dw|