Let 
denote the number of ways of arranging 
boys and 
girls in a row so that no two boys sit together. If 
and 
give the number of ways of arranging 
boys and 
girls in a row and around a circular table respectively so that boys and girls sit alternately, then 
Text Solution
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denotes the number of ways of arranging 
boys and 
girls in a row such that no two boys sit together, 
denotes the number of ways of arranging 
boys and 
girls in a row such that boys and girls sit alternately, 
denotes the number of ways of arranging 
boys and 
girls in a circular table such that boys and girls sit alternately, 
!
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