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In how many ways can a group of 5 boys and 5 girls be seated in a row of 10 seats if boys and girls must alternate in the row?

 Jan 29, 2016
 #1
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Consider that the boys can be arranged in 5! ways in their respective positions  and the same for the girls.

 

And we can either seat  the boys first, or the girls first........so

 

5! * 5!   *  2     =   120^2 * 2   = 28,800   ways

 

 

 

cool cool cool

 Jan 29, 2016

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