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

A family consists of a grandfather, m sons and daughters and 2n grandchildren. They are to be seated in a row for dinner. The grand-children wish to occupy the n seats at each end and the grandfather refuses to have grand-children on either side of him. In how many ways can the family be made to sit.

`(2n!)(m-1)!`

`(2n!)(m!)(m-1)`

`(2m!)(n!)`

none of the above

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