In this simple yet creative data visualization posted by **Randal Olson**, the folks at **dadaviz **map key ingredients to various Ben and Jerry's Flavors. From the everydata perspective, this is a beautiful illustration of the statistical concepts of PERMUTATIONS and COMBINATIONS-- reflecting the many ways different items can be combined. This is much more intriguing than the way probability is usually taught--think of the classic example of flipping two coins--how many different combinations can you get of heads (H) and tails (T): HH, TT, HT, TH. Everydata frequently retweets Randal's data visualizations (@randal_olson) if you want to follow him on twitter. **Dadaviz** (@dadaviz) is a fantastic site for visualization as well.

**Some More Ice Cream: **My best buddy @probonodude asked a good follow up question about exactly how should one think about the implied probabilities in this chart.

First, assuming this is the full universe of ingredients, chocolate is in the most Ben and Jerry's flavors. You can visually see this by the fact that the brown color is most dominant in the picture.

Second, on to permutations. There are 8 ingredients. How many different flavors can we make from those 8 flavors: If each "flavor" is only made using 1 ingredient, this is an easy problem: we end up with 8 flavors. But, if each "flavor" is now made combining any 2 ingredients, that yields 56 ice cream flavors. (8 for the first choice, and 7 for the second). If each flavor can be made using 3 ingredients, that yields 336 ice cream flavors.

Now, obviously with these 8 flavors, Ben and Jerry's isn't conducting a statistical exercise--so they aren't looking to create every possible permutation of 8 ingredients. But perhaps we can conclude the optimal number of flavor permutations is 72 (the number of ice creams shown on the right), as very few ice cream companies have been more successful or creative than Ben & Jerry's.