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 nationality. in how many ways can they be seated

Answer 1

Answer:

Total number of ways  = 82944

Explanation:

ways to fill first seat = 4+4+4 = 12

ways to fill second seat = 4 + 4 = 8

ways to fill third seat = 4

Similarly,

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

12x8x4x3x3x3x2x2x2x1x1x1 = 82944

That's the final answer.

I hope it will help you.