Each of two women and three men is to occupy one chair out of eight chairs, each of which numbered from 1 to 8. First, women are to occupy any two chairs from those numbered 1 to 4; and then 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?

Each of two women and three men is to occupy one chair out of eight chairs, each of which numbered from 1 to 8. First, women are to occupy any two chairs from those numbered 1 to 4; and then 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?