Q268 / 270 · NDA 2023 (Phase 2) · Mathematics

Three boys, P, Q, R an three girls S, T, U are to be arranged in a row for a group photograph. What is the probability that no two girls sit together?

  • A
    $\frac{2}{5}$
  • B
    $\frac{3}{5}$
  • C
    $\frac{1}{18}$
  • Correct answer
    D
    $\frac{1}{5}$

Solution

Required probability $=\frac{3!\times{ }^4 \mathrm{P}_3}{6!}=\frac{1}{5}$

Hence, the correct answer is option: 'D'.

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