How Many Ways Can You Get Your Coat Back?

One of, one of the big things that we do that sometimes a surprise is count the same thing twice. The why is that it tells us about these two different ways of counting. So if i have like five cards, then there will be ten ways that i can pick any two of them,. Where i don't care about the order of those two, i just want to get two cards. That's five, choose two. Tells you how many ways can you choose two different elements from a set of five elements. If i addit up, what is itke, 16 times two? It's 32. Is it not an identity like the sum of alri so why is