You intend to study consumer trends in six countries in Europe and Asia. You have narrowed your list of possibilities to a total of 15 countries—10 in Europe and 5 in Asia. From this list, you plan to select your group of six countries.
a. How many different subgroups of six countries are possible?
b. How many of the subgroups of six would contain exactly three European and three Asian countries?
c. If you select your subgroup of six countries randomly, how likely is it that the subgroup you select will consist of exactly three European and three Asian countries?