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NDA 2023

Exam: NDA
Year: 2023
Subject: Mathematics
Chapter: Permutation and Combination

NDA 2023 · Mathematics · Permutation and Combination

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 no two girls sit together?

Options

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

Correct answer

D. $\frac{1}{5}$

Step-by-step solution

Required probability

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

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