Answer: There can only be two committees of 2 men and 8 women.
Explanation:
Since one committee must have 2 men and 8 women we must use these as the restiction. Since there are 16 women these will split into two groups of 8, with the 8 men we can split it into 4 groups. It doesn't matter how many groups the men can have it matters if both requirements are met meaning there are only two committees that consist of two men and 8 women.