Jake Conway, Alexander Lex & Nils Gehlenborg have made an R package called UpSetR which, as the name suggests, puts on an iron shirt and chases the devil out of Eart’. The devil in this case being Venn diagrams. Invariably, when people want to count up combinations of stuff, they end up hand-bodging some crappy diagram that isn’t even a real Venn. They use powerpoint or some other diabolical tool. Now you can do better in R.