# combinarics

1. ### Using the spectrum to calculate edges and triangles

So I found out that $\sigma(K_6)=\{[-1]^5,[5]\}.$ However how would I use this to calculate the number of edges and triangles in K6?
2. ### Combinarics problem

Can someone solve this problem with a generating function? Select an odd number of people from a group of n people to serve on a committee. Then choose an even number of people from this committee to serve on a subcommitte. (Zero is an even number, too.) in how many different ways can we...