Let n(k, l, m), k ≤ l ≤ m, be the smallest integer such that any finite planar point set of at least n(k, l, m) points in general position, contains an empty convex k-hole; an empty convex l-hole and an empty convex m-hole, which are all pairwise disjoint. In this paper we prove that n(3, 3, 5) = 12.
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