Find the probability that in a random arrangement of the letters of the word UNIVERSITY the two Is do not come together.

Options

A. `4//5`
B. `1//5`
C. `1//10`
D. `9//10`

Answer

A

Explanation

`therefore IU, IN,2I,IV,IE,IR,IS,IT,IY`
`therefore ` Total number of possible arrangements=`(10!)/(2!)`
and favourable arrangements=`(10!)/(2!)-9!`
`((10!)/(2!)-9!)/((10!)/(2!))`
`=(9!(5-1))/(9!xx10)xx2=(4)/(5)`