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 these

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

PERMUTATIONS & COMBINATIONS
ARIHANT SSC|Exercise EXERCISE (LEVEL-2)|82 Videos
PERCENTAGES
ARIHANT SSC|Exercise Final round|50 Videos
PERMUTATIONS AND COMBINATIONS
ARIHANT SSC|Exercise HIGHER SKILL LEVEL QUESTIONS|19 Videos

Similar Questions

Explore conceptually related problems

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.

A tea party is arranged for 2m people along two sides of a long table with m chairs on each side, r men wish to sit on one particular side and s on the other. IN how many ways can they be seates ? [r,s,lem]

ARIHANT SSC-PERMUTATIONS & COMBINATIONS -FINAL ROUND

10 students are to be seated in two rows equally for the MOCK CAT in a...
Text Solution
|
Aman Verma and Mini Mathur jointly host a TV programme in which one da...
Text Solution
|
If 75% of a number is added to 75, then the result is the number itsel...
Text Solution
|
For x in R, let [x] denote the largest integer less than or equal to x...
Text Solution
|
Find the simple interest on 7200 at 8% per annum for 10 months.
Text Solution
|
A family consists of a grandfather, m sons and daughters and 2n grandc...
Text Solution
|
Six Ps have to be placed in the squares of the diagram given below suc...
Text Solution
|
A box contains two red, three green and four blue balls. In how many w...
Text Solution
|
Ajay has 7 relatives, 3 men and 4 women. His wife Kajol also has 7 rel...
Text Solution
|
Serena and Venus were only two women participiting in a chess tourname...
Text Solution
|
Twenty eight matches were played in a football tournament. Each team m...
Text Solution
|
At what rate will 14400 give 4032 as simple interest in 3 years and 6 ...
Text Solution
|
Mr. A has x children by his first wife and Ms. B has x+1 children by h...
Text Solution
|
How many different numbers which are smallerr than 2xx10^(8) and are d...
Text Solution
|
Find the number of all whole numbers formed on the screen of a calcula...
Text Solution
|
In how many ways can 5 rings of differents type can be worn in 4 fing...
Text Solution
|
If n, (n > 5) things are arranged in a circular order, the number of w...
Text Solution
|
Find the number of different selections of 5 letters, which can be mad...
Text Solution
|
In what time will a sum double itself at 8% per annum simple interest ...
Text Solution
|
A person goes in for an examination in which there are four papers wit...
Text Solution
|