Final answer:
The question is a combinatorial mathematics problem where we are to determine the number of ways to form a committee comprised of four men and three women. As the specific pool numbers of men and women are not given, we must choose the most plausible answer based on the general principle of combinatorial calculations, which is option A) 210.
Step-by-step explanation:
The question involves combinatorial mathematics where we need to determine in how many ways a committee can be formed from a larger group. This is a problem of combinations where order does not matter.
Step-by-step approach to the solution:
Assume there are m men and n women to choose from.
- Choose four men from m men. The number of combinations is given by the formula for combinations, C(m, 4).
- Choose three women from n women. The number of combinations is given by the formula for combinations, C(n, 3).
- To find the total number of ways to form the committee, multiply the combinations of men by the combinations of women: C(m, 4) × C(n, 3).
- Without specific values for m and n, we cannot compute the exact number of combinations; thus, we must look at the choices to select the answer with the correct reasoning.
- Now, we will apply the general principle that for a committee of four men and three women, the number of ways to form it would not be as small as 24 (which would be for permutations) and would typically be larger due to the fact that we are choosing without regard to order.
- Of the given options, A) 210 is a typical number of combinations for selecting a committee of seven people (four men and three women) from a larger group.
Therefore, without the specific values for m and n, the most plausible answer from the given options is A) 210.