In how many ways can 8 Indians and, 4 American and 4 Englishmen can be seated in a row so that all person of the same nationality sit together?
A. 3! 4! 8! 4!
B. 3! 8!
C. 4! 4!
D. 8! 4! 4!
Answer: Option A
Solution(By Examveda Team)
Taking all person of same nationality as one person, then we will have only three people.These three person can be arranged themselves in 3! Ways.
8 Indians can be arranged themselves in 8! Way.
4 American can be arranged themselves in 4! Ways.
4 Englishman can be arranged themselves in 4! Ways.
Hence, required number of ways = 3! 8! 4! 4! Ways.
This Question Belongs to Arithmetic Ability >> Permutation And Combination
thank you so much
Permutation = arrangement of a number of objects in definite order.
(Arrangement in order)
How do you know that this is a permutation problem .