Problem

Draw a hexagon divided into six triangles as shown.

Now, write the numbers 1 – 6 on a set of counters and position one counter in each triangle of the hexagon.

Make a list of the totals of the numbers in each row of triangles - your list should have 6 totals, because there are 6 different rows of triangles.

Now for the challenge! By positioning the counters in a special way, make the list of totals into six consecutive numbers.

In what different ways can this challenge be answered?