Eight chairs are numbered $1$ to $8$. Two women and three men wish to occupy one chair each. First,the women choose chairs from amongst the chairs marked $1$ to $4$,and then the men select the chairs from amongst the remaining. The number of possible arrangements is

• A
  ${ }^6 C_3 \times { }^4 C_2$
• B
  ${ }^4 P_2 \times { }^6 P_3$
• C
  ${ }^4 C_2 + { }^4 P_3$
• D
  ${ }^4 P_2 + { }^6 P_3$