Universal Quantification and Sigma

it's tough to know without seeing [MATH]x_{i,j,k,l,m,n}[/MATH] defined.
 
Thanks. Now make an attempt to describe what the sum might mean.

We might start by observing that i, j, and l are given; that is, we are finding a sum for a given day, time slot, and lecturer, over all student groups, courses, and suitable classrooms (k, m, n). When will the sum be non-zero?

If that's too much to do all at one, interpret one sum at a time. When is the inner sum non-zero?
 
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