Mathematics · Permutations and Combinations

In how many ways can 8 Indians, 4 Americans, and 4 Englishmen be seated in a single row such that all persons of the same nationality always sit together?

Verified Solution4 OptionsUpdated: October 2026👁️1 View

116!
24! × 4!
33! × 8!
43! × 8! × 4! × 4!✓

Correct answer

3! × 8! × 4! × 4!

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In how many ways can 8 Indians, 4 Americans, and 4 Englishmen be seated in a single row such that all persons of the same nationality always sit together?

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In how many ways can 8 Indians, 4 Americans, and 4 Englishmen be seated in a single row such that all persons of the same nationality always sit together?

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