Question

Letters in the word HULULULU are rearranged. The probability of all three L being together is

• A. $\frac{3}{20}$
• B. $\frac{2}{5}$
• C. $\frac{3}{28}$
• D. $\frac{5}{23}$

Answer 1

Answer: (C)

$\frac{3}{28}$

Answer 2

Given words, HULULULU
$\therefore$ Total number of sample space $=\frac{8 !}{4 ! 3 !}$
and total number of ways all three $L$ being together $=\frac{6 !}{41}$
Required probability $=\frac{\frac{6 !}{4!}}{\frac{8 !}{4 ! 3 !}}$
$=\frac{6! \times 3!}{8 !}=\frac{3}{28}$

Discover More From Chapter:Permutations and Combinations