Final answer:
There are 6 ways to create a group of 2 Indian countries from 4, which is the only requirement for the question as the other groups can be formed without restriction from the remaining countries.
Step-by-step explanation:
The question asks how many ways there are to divide 4 Indian countries and 4 China countries into 4 groups of 2 each such that at least one group must have only Indian countries. We can solve this using combinatorics. The first step is to create one group with only Indian countries.
This can be done in C(4,2) ways, which is 6 ways since we are choosing 2 out of 4. Once we have this group, we have 3 Indian countries and 4 Chinese countries left which we can pair in any possible way. We create these pairs by sequentially taking one country from each set (Indian and Chinese) to form a group, which can be done in a straightforward way as we are not concerned about order for the purpose of creating these pairs.
Therefore, the question is essentially asking for how many ways we can choose 2 out of the remaining 3 Indian countries, therefore we have 6 ways to create that initial special group of Indian countries.