Q: 37 (IAS/2006)

Each of two women and three men is to occupy one chair out of eight chairs, each of which is numbered from one to right. First, women are to occupy any two chairs from those numbered one to four; and then the three men would occupy any three chairs out of the remaining three men would occupy any three chairs out of the remaining six chairs. What is the maximum number of different ways in which this can be done?
question_subject: 
Logic/Reasoning
question_year: 
2006
question_exam: 
IAS
question_sub_subject: 
Reasoning
question_topic: 
Analytical
stats: 
0,216,176,40,128,216,8