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Expert: - 3/22/2009


Question
In how many orders can a party of 4 girls and 4 boys be placed at a round table so that the boys and girls can be alternate?

Answer
Questioner:   Abdul Mateen
Country:  Pakistan
Category:  Advanced Math
Private:  No
 
Subject:  maths problem
Question:  In how many orders can a party of 4 girls and 4 boys be placed at a round table so that the boys and girls can be alternate?
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Assume that the table is continuous.  Then you will have Boy 1 somewhere.  Wherever he is, assign the seats to his left:

Girl(4 ways)  
Boy(3 ways)
Girl(3 ways)  
Boy(2 ways)
Girl(2 ways)  
Boy(1 ways)
Girl(1 ways)  

Now multiply those.

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