Directions: Using the digits 1-6, at most one time each, fill in the boxes to create the largest and smallest combined perimeter/circumference for the rectangle and circle.
What part of your calculations will be the same every time?
How many permutations are there of the numbers 1-6 in four positions?
Which permutations matter for the largest sum? Why?
Which permutations matter for the smallest sum? Why?
least: (24 · 1) + (2π · 3) = 42.85… units
Source: Christin Smith