# a family consists of a grandfather who has 3 daughters and 2 sons. each daughter has 2 children, and both the sons have a single child. they are to be seated in a row for dinner. the 8 grandchildren wish to occupy the four seats on either side of the table, and the grandfather refuses to be adjacent to any of his grandchildren. the number of ways in which the family can be made to sit is?

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get a family consists of a grandfather who has 3 daughters and 2 sons. each daughter has 2 children, and both the sons have a single child. they are to be seated in a row for dinner. the 8 grandchildren wish to occupy the four seats on either side of the table, and the grandfather refuses to be adjacent to any of his grandchildren. the number of ways in which the family can be made to sit is? from screen.

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

Click here👆to get an answer to your question ✍️ A family consists of a grandfather, m sons and daughters and 2n grandchildren. They are to be seated in a row for dinner. The grandchildren wish to occupy the n seats at each end and the grandfather refuses to have a grandchildren on either side of him. In how many ways can the family be made to sit?

Question

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

**A**

## (2n)!m!(m−1)

**B**

## (2n)!m!(m−2)

**C**

## (n)!m!(m−1)

**D**

## (2n)!(m+1)!

Hard Open in App

Updated on : 2022-09-05

Solution Verified by Toppr

Correct option is A)

The number of ways of arranging the grand children at each end's (2n)!

Sons and daughter can be occupies by m!

While grandfather will occupy the remaining seat in middle i.e. (m−1).

Note! After grandfather only we shall arrange son and daughter

∴ Total ways=2n!×m!(m−1)

Hence the answer is (2n)!m!(m−1).

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## A family consists of a grandfather 6 sons and daughters and 4 grandchildren . they have to be seated in a table for dinner .the grandchildren wish to occupy 2 seats at each end and the grandfather refuses to have a grand child on either side .in how many ways sitting arrangement can be made for dinner.

A family consists of a grandfather 6 sons and daughters and 4 grandchildren . they have to be seated in a table for dinner .the grandchildren wish to occupy 2 seats at each end and the grandfather refuses to have a grand child on either side .in how many ways sitting arrangement can be made for dinner.

Byju's Answer Standard VI History Mahajanapadas A family cons... Question

A family consists of a grandfather 6 sons and daughters and 4 grandchildren . they have to be seated in a table for dinner .the grandchildren wish to occupy 2 seats at each end and the grandfather refuses to have a grand child on either side .in how many ways sitting arrangement can be made for dinner.

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SIMILAR QUESTIONS

**Q.**A family consists of a grandfather,

6

sons and daughters and

5

grand children. They are to be seated in a row for dinner.The grand children wish to occupy two seats at each end and the grandfather refuses to have a grandchild on either side of him. In how many ways can the seating arrangements can be made for the dinner?

**Q.**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.

**Q.**12 persons are to be seated at a square table, three on each side. 2 persons wish to sit on the north side and two wish to sit on the east side. One other person insists on occupying the middle seat (which may be on any side). Find the number of ways they can be seated.

**Q.**A tea party is arranged for

16

people along two sides of a long table with

8

chairs on each side. Four men wish to sit on one particular side and two on the other side, In how many ways can they be seated?

**Q.**A family consists of a grand father,

5

sons and daughters and

8

grand children. 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. Let "k" be the number of ways the family be made to sit.Find the sum of digits of k?

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## 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

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 th

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A family consists of a grandfa...

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.

Updated On: 27-06-2022

( 00 : 09 ) ADVERTISEMENT Text Solution Open Answer in App A (2n)!m!(m−1) (2n)!m!(m-1) B (2n)!m!m (2n)!m!m C (2n)!(m−1)!(m−1) (2n)!(m-1)!(m-1) D (2n−1)!m!(m−1) (2n-1)!m!(m-1) Answer

The correct Answer is A

Answer

Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.

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Guys, does anyone know the answer?