Question

The letters of the work "QUESTION" are arranged in a row at random. The probability that there are exactly two letters between Q and S is

• A. $\frac{1}{14}$
• B. $\frac{5}{7}$
• C. $\frac{1}{7}$
• D. $\frac{5}{28}$

Answer 1

The correct option is D $\frac{5}{28}$

$n\left(E\right){=}^6{P}_2\times 2!\times 5!$
$n\left(S\right)=8!$

required probability is n(E)/n(S)=$\frac{5}{28}$