In all 10 persons are to be seated in a row and in the row of 10 positions there are exactly 5 even places viz. second, fourth, sixth, eighth and tenth. It is given that 3 of these five even places are to be occupied by three women. This can be done in `^(5)C_(3)xx3!` ways. The remainning 7 positions can be filled by the 7 men in `^(7)C_(7)xx7!` ways.
Hence, the total number of seating arrangements
`=(""^(5)C_(3)xx3!)xx(""^(7)C_(7)xx7!)=30240`
