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.
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 grandchild on either side of him.In how many ways can the family be made to sit?
A family comprised of an old man,6 adults and 4 children is to be seated is a row with the condition that the children would occupy both the ends and never occupy either side of the old man.How many sitting arrangements are possible?
In how many ways can n women be seated in a row so that a particular women will not be next to each other?
A tea party is arranged for 16 persons along two sides of a long table with 8 chairs on each side.Four persons wish to sit on one particular and two on the other side.In how many ways can they be seated?
In how many different ways a grandfather along with two of his grandsons and four grand daughters can be seated in a line for a photograph so that he is always in the middle and the two grandsons are never adjacent to each other.
FIITJEE-PERMUTATIONS & COMBINATIONS-NUMERICAL BASED
