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Question 78

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?

  1. A3! 4! 8! 4!
  2. B3! 8!
  3. C4! 4!
  4. D8! 4! 4!
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Correct answer: (A) 3! 4! 8! 4!

Explanation

Treat each nationality as one block: the 3 blocks can be arranged in 3! ways. Inside the blocks, Indians arrange in 8!, Americans in 4! and Englishmen in 4!. Total = 3!·8!·4!·4!.

From DSSSB TGT Computer Science Practice Set 4

This is question 78 of DSSSB TGT Computer Science Practice Set 4. See all questions of this paper with answers, or attempt the paper as a timed online test to get your score and all-India rank.