Question

There are 15 people to be seated around a round table. In how many ways we can arrange them such that 3 particular person A, B, C are all ways together.

• A. 12!
• B. 13!
• C. $12!\times 3!$
• D. $13!\times 3!$

Answer 1

The correct option is C $12!\times 3!$

Consider those three persons as single group now 13 objects (12 people and a group) which can be arrange in (13 - 1)! ways but 3 persons of group can be arranged in 3! ways.
Hence total possible no. of arrangements.
= 12! x 3!
Hence option (c) is correct.