c) A hospital reports that they had a shortage of blood types A,B, AB, and O. How many people in a group must be there to ensure that 10 people have the same blood type. Your answer must include identifying the pigeons and the pigeonholes. d) Given that the complete graph Kn has 28 edges. i) Find the number of vertices that Ka is composed of. ii) Determine the degree of each vertex. ii) Calculate the sum of the degrees of all its vertices. e) Given the set of numbers S={2,3,4,6,12}. The relation R on S is defined as follows: (x.y)εR if and only if x is a divisor of y. i) Show that this relation is a partial order. ii) Draw the Hasse diagram of R.
