Calculate Possible Combinations
December 1, 2009 4:38 PM Subscribe
How many combinations are possible in this grid?
posted by rahnefan to science & nature (12 answers total) 1 user marked this as a favorite
I have a grid with four cells in it; two rows by two columns. Each cell has a symbol in it; either Sun, Moon, Star, or Egg. Each symbol has four potential orientations; 0°, 90°, 180°, & 270°. An example layout might be:
How many unique layouts are possible, if each symbol must appear once and only once in each unique layout? Also, by unique, I mean do not rotate the entire grid -- for example, the below would be unique because it is not the same as the example above, even though the "markup" here has been "rotated:"
But the example below would not be unique:
Because it is the same as rotating the entire grid in the first example.