# Set containing numbers 1 to 49 : <mo fence="false" stretchy="false">{ 1 , 2

MathJax(?): Can't find handler for document MathJax(?): Can't find handler for document Set containing numbers $1$ to $49:\left\{1,2,3,\cdots ,49\right\}Now, I want to divide the set into7subsets such that each subset should contain7elements and sum of the elements of each subset should be175.$
Is it possible to prove that such subsets exist?
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Mekjulleymg
Lookup Magic Squares.
which has the following:
$\begin{array}{}22& 47& 16& 41& 10& 35& 4\\ 5& 23& 48& 17& 42& 11& 29\\ 30& 6& 24& 49& 18& 36& 12\\ 13& 31& 7& 25& 43& 19& 37\\ 38& 14& 32& 1& 26& 44& 20\\ 21& 39& 8& 33& 2& 27& 45\\ 46& 15& 40& 9& 34& 3& 28\end{array}$