# permutations on number of ways boys and girls sit together

What is the difference between :-

1. $5$ boys and $5$ girls need to sit in a row so that no two boys should sit together
2. $5$ boys and $5$ girls should sit in a row alternatively ?
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condition $2$ is a $subset$ of possibilities of condition $1$. –  ProMatheus Dec 6 '13 at 6:49
Alternatively is incorrect; the correct word here is alternately. –  Brian M. Scott Dec 6 '13 at 20:36
Yea Mr.Brian M.Scott sorry for the spelling mistake. –  user3065912 Dec 10 '13 at 5:54

BGBGBGBGGB is allowed for the first one but not for the second one.

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