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

Options

A. `(3)/(20)`
B. `(2)/(5)`
C. `(3)/(28)`
D. `(5)/(23)`

Answer

C

Explanation

Gvien words, HULULULU
`therefore` Total number of sample space`=(8!)/(4!3!)`
and total number of ways all three L being together
`=(6!)/(4!)`
`therefore`Required probability`=((6!)/(4!))/((8!)/(4!3!))`
`=(6!xx3!)/(8!)=(3)/(28)`