What is the probability that for S comes consecutively in the word 'MISSISSIPPI`

Options

A. `(1)/(165)`
B. `(2)/(165)`
C. `(4)/(165)`
D. none of these

Answer

C

Explanation

The total number of arrangements of the letters of the word 'MISSISSIPPI' is
`(11!)/(4!4!2!)`
Considering 4 S's as one letter, there are 8 letters which can be arranged in arrow in `(8!)/(4!2!)` ways.
`therefore` Number of ways in which 6 S's come together `=(8!)/(4!2!)`
Hence, required probability `=(8!//4!2!)/(11!//4!4!2!)=(8!xx4!)/(11!)=(4)/(165)`