Arranging 4 Indians, 4 Americans and 4 Russians in a row such that three consecutive people are of different nationalities

Question

4 Indian, 4 American and 4 Russian delegates have to be seated in a row such that any three consecutive people in a row are of three different nationalities. In how many ways can they be seated?

Answer 1

12x8x4x3x3x3x2x2x2x1x1x1=3!(4!)^3 using fundamental counting principle. Once the first two people are seated the order of the nationalities is determined.