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### Question Asked by a Student from EXXAMM.com Team

** Q 2413101040. ** 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 the 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?

**IAS 2006 Prelims **