If the letters of the word 'ALGORITHM' are arranged at random in a row,what is the probability that the letter GOR must remain together as a unit.

Explanation

There are total `9` letters in word `ALGORITHM`.

So, the total number of arrangements possible ` = 9!`

When `GOR` remains together as a unit, then the total number of arrangements possible `= 7!`

So, probability `GOR` will always remain together as a unit ` = (7!)/(9!) = (7!)/(9**8**7!) = 1/72`