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Question
Select the correct answer from the given alternatives.
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?
Options
3! 8!
3! 4! 8! 4!
4! 4!
8! 4! 4!
Solution
3! 4! 8! 4!
Explanation;
8 Indians take their seats in 8! ways 4
Americans take their seats in 4! ways 4
Englishmen take their seats in 4! Ways.
Three groups of Indians, Americans and Englishmen can be permuted in 3! ways
Required number = 3! × 8! × 4! × 4!
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