If all permutations of the letters of the  word P E N C I L are arranged as in a dictionary, then 413th word is

detailed solution

Correct option is D

Letters in the word PENCIL are C, E, I, L, N, P.There are 5! words each beginning with C, E and I. That is, there are 3(5!)=360 words beginning with C, E, I Words beginning with L have serial numbers 361 to 480 4!=24 words beginning with LC have serial numbers 36 to 384. Words beginning with LE are numbered from 385 to 408. Words beginning with LIC are numbered from 409 to 414. Now 414th word is L I C P N E and 413th  word is L I C P E N.