The number of triangles that can be formed using five points in a plane depends on the arrangement of those points. If the five points are in general position (no three points are collinear), the number of triangles can be calculated using the combination formula ( \binom{n}{r} ), where ( n ) is the total number of points and ( r ) is the number of points to choose. Therefore, the number of triangles formed by five points is ( \binom{5}{3} = 10 ). If some points are collinear, the number of triangles would be fewer.
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