There are three rooms (I, II and III) with occupancy capacity of three each. P, Q, R, Sand T are five friends. Rand S occupied room I; T occupied room II. In how many different ways can P and Q occupy the rooms if there is no additional restriction? | UPSC CAPF 2026 Q No 63

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There are three rooms (I, II and III) with occupancy capacity of three each. P, Q, R, Sand T are five friends. Rand S occupied room I; T occupied room II. In how many different ways can P and Q occupy the rooms if there is no additional restriction?

Options:

  1. 8
  2. 7
  3. 6
  4. 5
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Accepted Answer

Accepted Answer: (A) 8

Topic Covered: Quantitative Aptitude and Reasoning

Key Concept: Mathematical relationships, counting and logical analysis

The correct option follows from the underlying quantitative, logical or geographical relationship. “8” is obtained by applying the defining rule, formula, map fact or classification relevant to the question.

The key is to apply the central fact, formula, definition or relationship tested in the question and then eliminate alternatives that do not satisfy it.

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