Question 1: A committee is to be formed from the History and Geography departments at UCT. The 9 people on the committee can be selected from 15 eligible individuals located in the two departments: 7 of these are in the History department (including the HOD), and 8 are in the Geography department (including the HOD). a) With no regard to which departments the members come from, or restrictions on how many come from which department, how many different committees of size 9 could one construct out of the 15 eligible people