SOLUTION: There are five boys and seven girls. In how many ways can you arrange all kids in a row so that no two boys are together? thanks!

Question 411769: There are five boys and seven girls. In how many ways can you arrange all kids in a row so that no two boys are together? thanks!
Answer by sudhanshu_kmr(1152) (Show Source): You can put this solution on YOUR website!

no. of ways to arrange 7 girls in a row = 7P7 = 7!
X G X G X G X G X G X G X G X
now, boys can be arranged on 8 places, so that two boys separated by at least 1 girl.
no. of ways to arrange 5 boys on 8 places = 8P5 = 6720

total no. of ways to arrange boys and girls = 7! * 6720 = 33868800
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