### Poll Results

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Explanation:

According to question,

Total number of seats

= 1 grandfather + 5 sons and daughters + 8 grandchildren = 14

The grandchildren occupy the 4 seats on either side of the table in 8P4×4! = 8!

The grandfather can occupy a seat in 4 ways (i.e.. S6,S7,S8,S9 ).

And, the remaining seats can be occupied in 5i = 5×4×3×2

= 120 ways(5 seat for sons and daughters)

Hence. the total number of required ways

= 8!×480 = 19353600