Permutation problem

A family of 4 brothers and 3 sisters is to be arranged for a photo in a row. In how many ways they can be seated, if the sisters sit together. Please solve this problem.
Replies (2)

First Consider all the sisters as a one member. Therefore total Members would be 5 ( 4 bros + 1) 5 members can be arranged in 5P5 ways and three sisters can be arranged in 3p3 ways therefore the total ways of arrangement will be

 

  5P5 X 3P3 = 120 * 6 = 720 ways

4 brothers be arranged 4p4 ways = 4! = 4*3*2*1 = 24

3 sister be arranged if they sit together = 3p2*3p1 = 3!*3=3*2*1*3=18

therefore, total way = 24+18=42 ways.

Leave a Reply

Your are not logged in . Please login to post replies

Click here to Login / Register  

Company
Featured 07 November 2026
Paid Assisstant

DPV & Associates

Chennai

CA Inter

View Details
Company
ARTICLESHIP 23 October 2026
CA Articleship / Article Assistant

M N Rao & Associates LLP

Vijayawada

CA Inter

View Details
Company
19 October 2026
Accountant

Jari Saree Center

New Delhi

Others

View Details
Company
14 October 2026
Asst. Manager/Dy Manager (Costing)

manufacturing

Pune

CMA

View Details
Company
21 October 2026
CA INTER/ BCOM WITH EXPERIENCE

CA S KUMAR GUPTA & CO

Amritsar

CA Inter

View Details
Company
ARTICLESHIP 25 October 2026
Article Intern (CA Articleship)

Arpan Bohra & Co

Hyderabad

CA Inter

View Details
Company
ARTICLESHIP 29 October 2026
Article Assistant (CA Inter / CMA Inter) - Thrissur

Varma Raja & Associates

Thrissur

CA Inter

View Details
Company
10 November 2026
Direct Tax Manager

CAAQ CONSULTANCY PVT LTD

New Delhi

CA Final

View Details