Question

All the letters of the word $ANIMAL$ are permuted in all possible ways and the permutations thus 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 permuting the word $PERSON$ and arranging the permutations thus formed in dictionary order is

• A. ENOPRS
• B. NOSPRE
• C. NOEPRS
• D. ESORNP

Answer 1

The Correct Option is D

If we arrange the letter of word ANIMAL in alphabetic order then, we get AAILMN, now to find the rank of word ANIMAL, $x$ (given)

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Now, similarly for word PERSON, if we arrange the letters in alphabetic order, we get ENOPRS, now to find the word having 107 ways,



So, ESORNP is required word.