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. 4! 4!
C. 8! 4! 4!
D. 3! 8!
Correct Answer :
A. 3! 4! 8! 4!
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.
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