Question Bank • QB_EXP_GA_PRB_003 MCQ • 1 Mark

Section 8: General Aptitude

Quantitative: Permutations, Combinations & Probability

Subtopic: Circular permutation of distinct objects

Question Statement:

The number of distinct ways in which $n$ people can be arranged around a circular conference table is:

Options:

  • (A) $(n - 1)!$
  • (B) $n!$
  • (C) $\frac{n!}{2}$
  • (D) $(n + 1)!$

Answer Key:

A

Step-by-Step Solution & Explanation

In circular arrangements, rotational shifts are indistinguishable. Fixing one person's position eliminates the $n$-fold rotational degeneracy, giving $(n - 1)!$ distinct arrangements.
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