Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Probability

Question:

If there are 6 girls and 5 boys who sit in a row, then the probability that no two boys sit together is:

Options:

$\frac{6!6!}{2!11!}$

$\frac{7!5!}{2!11!}$

$\frac{6!7!}{2!11!}$

None of these

Correct Answer:

$\frac{6!7!}{2!11!}$

Explanation:

⇒ Required probability = $\frac{{^7C}_5×5!×6!}{11!}=\frac{7!\,6!}{11!\,2!}$