Question

Delegates of the five of the member countries of SAARC decide to hold a round table conference. There are 5 Indians, 4 Bangladeshis, 4 Pakistanis, 3 Sri Lankans and 3 Nepales. In how many ways can they be seated ? In how many ways can they be seated, if those of the same nationality sit together ?

Answer 1

Number of seating arrangements of total 19 members = 18!

and number of ways when the members of same nationality sit together = 4! 5! 4! 4! 3! 3!

= (3!)2 (4!)3 (5!)