Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 11-science Answered

A family consist of a grand father ,6 sons & daughter and 4 grand children. They are to be seated in a row for a dinner . The grand children wish to occupy the two seats at each end and the grandfather refuses to have a grand children on either side of him. Determine the number of ways in which they can be seated for the dinner?
Asked by Jagmeet Singh | 13 Oct, 2013, 12:23: PM
answered-by-expert Expert Answer

Family consists of

Grand father = 1

Sons and daughters = 6

Grand children = 4

Total = 11 members

There are 11 places to arrange them in row.

Grand children wish to occupy end seats .

First two and last two seats are occupied by grand children.

They can be arranged in 4x3x2x1 ways = 24ways

grand father refuses to sit behind grand children means he has to be seated 5 places in between as he cannot sit in first 3 and last 3 places.

He can be seated in 5 ways.

Remaining Sons and daughters(6) can be arranged in 6! ways = 720 ways

Therefore, total number of arrangements = 24x5x720 = 86400 ways

Answered by | 13 Oct, 2013, 03:45: PM
CBSE 11-science - Maths
Asked by tharshini8456157 | 27 Nov, 2023, 10:32: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by lavanya.toshit | 21 Feb, 2023, 09:16: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by pranshusingh9himalya | 15 Nov, 2022, 01:43: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by ismayilpmamu | 09 Apr, 2020, 10:10: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by kandappan | 10 Feb, 2020, 05:34: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Kchawla94 | 28 Feb, 2019, 08:07: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Kashifimam866 | 20 Feb, 2019, 05:58: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by lovemaan5500 | 02 Feb, 2019, 08:29: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by lovemaan5500 | 02 Feb, 2019, 08:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by yogeshkumar pathak | 31 Jan, 2019, 11:56: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×