How many different arrangements are there if the tallest man

G

Guest

Guest
How many different arrangements are there if the tallest man and the two tallest women must be at the centre of their respective rows? (photographer has arranged 6 women and 5 men, women sitting in the first row, and men sitting in the second)

so it would look like MEN: _ _ T _ _
WOMEN : _ _ T T _ _

I thought it would something like Men- (4) (3) (1) (2) (1)
Women- (4)(3)(2)(2)(2)(1)
and then multiply that all up...but nOPE, so how do you do this?

THANks,thanks, and thanks
 
Place the tallest man in the center of his row and arrange the other 4 in 4! ways.

Place the 2 tallest women in the center of their row in 2! ways and arrange the other 4 in 4! ways.
 
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