Find the probability that the 3Ns come consecutively in the arrangement of the letters of the word CONSTANTINOPLE.

Explanation

The total number of arrangement of the letters of the word ''CONSTANTINOPLE'' is `(14)!//3! 2! 2!`
Since 3 N's are consecutive, then considering all the 3 N's as single letter, the total number of arrangements is `(12)!//2! 2!`
Therefore, required probability is
`=((12)!//(2! 2!))/((14)!//(3! 2! 2!)) = (3!)/(14xx13) = (3)/(91)`