Q266 / 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 all three boys sit together?

  • Correct answer
    A
    $\frac{1}{5}$
  • B
    $\frac{1}{4}$
  • C
    $\frac{1}{3}$
  • D
    $\frac{1}{12}$

Solution

The number of ways in which all boys sit together $=4!\times 3$ ! $\text { Required probability }=\frac{4!\times 3!}{6!}=\frac{1}{5}$

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

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