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NDA 2023
Exam
NDA
Year
2023
Subject
Mathematics
Chapter
Probability

NDA 2023 · Mathematics · Probability

Three boys, P, Q, R an three girls S, T, U are to be arranged in a...

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 boys and girls sit alternatively?

Options

  1. A45\frac{4}{5}
  2. B110\frac{1}{10}
  3. C56\frac{5}{6}
  4. D17\frac{1}{7}

Correct answer

B. 110\frac{1}{10}

Step-by-step solution

Since boys \& girls seats alternatively  Required probability =2×3×3×2×26!=110\text{ Required probability }=\frac{2 \times 3 \times 3 \times 2 \times 2}{6!}=\frac{1}{10}
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