# SOLUTION: there are 3 boys and three girls at a party. in how many ways can they be seated in a row if they must sit alternating boys and girls?

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 Question 440208: there are 3 boys and three girls at a party. in how many ways can they be seated in a row if they must sit alternating boys and girls?Answer by josmiceli(9686)   (Show Source): You can put this solution on YOUR website!They can be seated (1) b g b g b g or (2) g b g b g b ------------- In (1), there are 3 boys that can be 1st That leaves 2 boys that can be 2nd, 1 boy that can be 3rd There are possibilities The same is true for the girls, so there are ways the boys and girls can be seated ------------------- (2) follows the same rules, so the total number of seating arrangements is You probably should get a second opinion, too. These things are tricky.