Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First, the women choose the chairs from amongst the chairs marked 1 to 4, and then the men select th chairs from amongst the remaining. The number of possible arrangements is a.`^6C_3xx^4C_2` b. `^4P_2xx^4P_3` c. `^4C_2xx^4P_3` d. none of these

Explanation

To solve the problem, we need to determine the number of ways two women and three men can occupy chairs numbered 1 to 8, given the constraints on their selections. Here's a step-by-step breakdown:

### Step 1: Women Choose Chairs
The two women can only choose from chairs numbered 1 to 4. We need to select 2 chairs from these 4 for the women.

The number of ways to choose 2 chairs from 4 is given by the combination formula:
\[
\text{Ways for women} = \binom{4}{2}
...