Thread: Combinatorics.

Hello.
I have no experience with typing math onto the computer so excuse me in advanced.

Let us denote N={1,2,3,...,n}
We have a Family {Ai} 1<=i<=m non equal subsets of N with the property that for each i and j such that i != j , the sum of the values in the intersection of Ai and Bi, each one to the power of 3 is equal to L. note that this L is global for any i != j.
show that m <= n.

Thanks.

anyone has a direction?