IDNStudy.com, ang iyong mapagkukunan ng eksaktong at maaasahang mga sagot. Ang aming komunidad ay nagbibigay ng eksaktong sagot upang matulungan kang maunawaan at malutas ang anumang problema.

In how many ways can a group of 10 persons arrange themselves around a circular table if 3 of them insist on sitting beside each other? *​

Sagot :

Step-by-step explanation:

Let, there are ten persons A, B, C, D, E, F, G, H, I and J.

Total possible seating arrangement in the round table = (10–1)! = (9!).

Let, three persons A, B and C want to seat consecutively; so, their clubbing may be treated as a single entity called K.

So, it practically becomes a permutation among D, E, F. G, H, I , J and K in the round table, which can happen in (8 - 1)! = (7!) ways.

Now, for each such above permutation, K itself can be permuted in (3!) ways.

So, the answer will be = (7!)*(3!) = 5040*6 = 30240.