SOLUTION: Valentina, Luke, Sally, Han and Mae are to be placed in a line in random order. What is the probability that the boys will be next to each other and the girls will all

Question 1183999: Valentina, Luke, Sally, Han and Mae are to be placed in a line in random order.

What is the probability that the boys will be next to each other and the girls will all be next to each other?
Answer by Edwin McCravy(20055) (Show Source): You can put this solution on YOUR website!
Valentina, Luke, Sally, Han and Mae.

2 boys and 3 girls.  

They can be successfully placed in 2 basic ways, GGGBB or BBGGG

The girls can be arranged 3!=6 ways and the boys 2!=2 ways.

That's 2*6*2 = 24 ways out of 5!=120 ways to arrange the 5 every
possible way.

Answer 24/120 = 1/5.

Edwin

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