Question

Number of ways in which the letters of the word SUSURRUS, can be arranged

• A. 8 !
• B. $\frac{8!}{5!3!}$
• C. $\left(\genfrac{}{}{0ex}{}{8}{5}\right)$
• D. $\left(\genfrac{}{}{0ex}{}{8}{3}\right)\left(\genfrac{}{}{0ex}{}{5}{3}\right)$

Answer 1

Answer: (D)

$\text{ S’s }=3;U^{\prime }s=3;R\text{ ’s }=2$
$\frac{8!}{3!\cdot 3!\cdot 2!}={}^8{C}_3\cdot {}^5{C}_3\Rightarrow (C)$