In how many ways can 8 Indians, 4 Americans and 4 Englishmen be seated in a…
2018
In how many ways can 8 Indians, 4 Americans and 4 Englishmen be seated in a row so that all persons of same nationality sit together?
Answer: A. 3! 4! 8! 4! — Treat the three nationalities as three blocks. The blocks can be arranged in 3! ways, and people within the Indian, American and English blocks can be…
- A.
3! 4! 8! 4!
- B.
3! 8!
- C.
4! 4!
- D.
8!4! 4!
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Correct answer: A
Treat the three nationalities as three blocks. The blocks can be arranged in 3! ways, and people within the Indian, American and English blocks can be arranged in 8!, 4! and 4! ways respectively. Total = 3! x 8! x 4! x 4!.
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