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Mathematics: Post your doubts here!

asd

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the working out I did before is correct.
I wonder if you're equally good in statistics, Permutations and combinations, in particular. Because I posted a question on this same page, can you help me with that?
 
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Umm GUYS?
Ill post my question again.

Four families go to a theme park together. Mr and Mrs Lin take their 2 children. Mr O'Connor take his 2 children. Mr and Mrs Ahmed take their 3 children. Mrs Burton take her son. The 14 people all have to go through a turnstile one a a time to enter the theme park.
In how many different orders can the 8 children and 6 adults go through the turnstile if no two adults go consecutively?
Ans is 2438553600 (8! x 9 x 8 x 7 x 6 x 5 x 4)
How and Why?

Here you go:
 

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