1440

Step-by-step explanation:

First women can take any of the chairs marked 1 to 4 in 4 different way.

Second women can take any of the remaining 3 chairs from those marked 1 to 4 in 3 different ways.

So,total no of ways in which women can take seat =4×3

⇒4P2

4P2=4!(4−2)!

=4×3×2×12×1

=12

After two women are seated 6 chairs remains

First man take seat in any of the 6 chairs in 6 different ways,second man can take seat in any of the remaining 5 chairs in 5 different ways

Third man can take seat in any of the remaining 4 chairs in 4 different ways.

So,total no of ways in which men can take seat =6×5×4

⇒6P3

6P3=6!(6−3)!

⇒6×5×4×3×2×13×2×1

⇒120

Hence total number of ways in which men and women can be seated =120×12

⇒1440

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