title: python permutations, including duplicates
body: <p>I have created a program that determines when the surface area of a cuboid is the same as the area. </p>
  
  <pre><code>from itertools import permutations
  
  def area(l, h, w):
      return(l*h*w)
  
  def surf_area(l, h, w):
      return(((l*h)+(l*w)+(w*h))*2)
  
  for length, height, width in permutations(range(1,100),3):
      if area(length, height, width)== surf_area(length, height, width):
          print("length = {}, height = {}, width = {}".format(length,height,width))
  </code></pre>
  
  <p>This iterates through the numbers 1-100 and puts them as the height length and width of the cuboid and only returns the answers which have the same area and surface area</p>
  
  <p>This yields:</p>
  
  <pre><code>length = 3, height = 7, width = 42
  length = 3, height = 8, width = 24
  length = 3, height = 9, width = 18
  length = 3, height = 10, width = 15
  length = 3, height = 15, width = 10
  length = 3, height = 18, width = 9
  length = 3, height = 24, width = 8
  length = 3, height = 42, width = 7
  length = 4, height = 5, width = 20
  length = 4, height = 6, width = 12
  length = 4, height = 12, width = 6
  length = 4, height = 20, width = 5
  length = 5, height = 4, width = 20
  length = 5, height = 20, width = 4
  length = 6, height = 4, width = 12
  length = 6, height = 12, width = 4
  length = 7, height = 3, width = 42
  length = 7, height = 42, width = 3
  length = 8, height = 3, width = 24
  length = 8, height = 24, width = 3
  length = 9, height = 3, width = 18
  length = 9, height = 18, width = 3
  length = 10, height = 3, width = 15
  length = 10, height = 15, width = 3
  length = 12, height = 4, width = 6
  length = 12, height = 6, width = 4
  length = 15, height = 3, width = 10
  length = 15, height = 10, width = 3
  length = 18, height = 3, width = 9
  length = 18, height = 9, width = 3
  length = 20, height = 4, width = 5
  length = 20, height = 5, width = 4
  length = 24, height = 3, width = 8
  length = 24, height = 8, width = 3
  length = 42, height = 3, width = 7
  length = 42, height = 7, width = 3
  </code></pre>
  
  <p>Now, if you look closely, none of the measurements are ever the same e.g. I would never get the answer (not correct answer)</p>
  
  <pre><code>length = 3, height = 3, width = 3
  </code></pre>
  
  <p>as it only iterates through the numbers once. How can I include these "doubled" answers?</p>