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Let 
be a finite family of finite sets with the property that |A ∩ B| ≦ 1 whenever A and B are distinct members of 
. It is a conjecture of Erdös, Faber, and Lovász ([1] a 50 pound problem and [2] a 100 dollar problem) that there is an n-coloring of (i.e., a function 
such that A ∩ B = ∅ whenever A and B are distinct members of with f(A) = f(B). They actually state the conjecture in a different form. They actually state the conjecture in a different form. Namely, if n is a positive integer and 
is a family of n sets satisfying (1) |Bp
| = n for each p and (2) |Bp
∩ Bq
| ≦ 1 when p ≠ q, then there is an n-coloring of the elements of 
so that each set Bp
gets all n colors. The equivalence of the two forms is easily seen by interchanging the roles of elements and sets.
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