A family consist of a grandfather, 5 sons and daughter and 8 grandchildren. They are to be seated in a row
for dinner. The grandchildren wish to occupy the 4 seats at each end and the grandfather refuses to have a
grandchild on either side of him. The number of ways in which the family can be made to sit is:
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Step-by-step explanation:
The grandchildren can occupy the 4 seats on either side of the table in 4! = 24 ways. The grandfather can occupy a seat in (5 - 1) = 4 ways (4 gaps between 5 sons and daughter). And, the remaining seats can be occupied in 5!
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The grandchildren can occupy the 4 seats on either side of the table in 4! = 24 ways. The grandfather can occupy a seat in (5 - 1) = 4 ways (4 gaps between 5 sons and daughter). And, the remaining seats can be occupied in
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