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A family consists of a grandfather, 5 so...

A family consists of a grandfather, 5 sons and daughters and 8 grand child. They are to be seated in a row for dinner. The grand children wish to occupy the 4 seats at each end and the grandfather refuses to have a grand child on either side of him. In how many ways can the family be made to sit?

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The correct Answer is:
`(.^(2n)P_(2n))(.^(m)P_(m))(.^(m-1)P_(1))=(2n!)m!(m-1)`
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