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Letters in the word HULULULU are rearran...

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

A

`(3)/(20)`

B

`(2)/(5)`

C

`(3)/(28)`

D

`(5)/(23)`

Text Solution

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The correct Answer is:
C
Given words, HULULULU
`:.` Total number of samle space `=(8!)/(4!3!)`
and total number of ways all three L being together `=(6!)/(4!)`
`:.` Required probability `=((6!)/(4!))/((8!)/(4!3!))`
`=(6!xx3!)/(8!)=(3)/(28)`
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