All the letters of the word animal are permutated in all possible ways and the permutations these formed are arranged in dictionary order. If the Rank of the word ANIMAL is x, then the permutation with rank x, among the permutations obtained by permurting theletters of the word PERSON and arranging the permutations thus formed in dictionary order is

Alphabetical order of ANIMAL is

          A, A, I, L, M, N

No of words begin with        AA=4!

No of words begin with         AI=4!

No of words begin with        AL=4!

No of words begin with        AM=4!

No of words begin with       ANA=3!

No of words begin with      ANIA=2!

No of words begin with      ANIL=2!

No of words begin with ANIMAL=1

Rank of ANIMAL = x = 4(4!)+3!+(2!)2+1

                                     X = 96++4+1=107

Alphabetical order of the word PERSON 1,

     E, N, O, P, R, W

No of words begin with        EN=4!

No of words begin with         EO=4!

No of words begin with          EP=4!

No of words begin with          ER=4!

No of words begin with         ESN=3!

No of words begin with      ESON=2!

No of words begin with      ESOP=2!

No of words begin with ESORNP=1

∴ Required word = ESORNP