The letters of the word ‘MIRROR’ are permuted in all possible ways and the words thus obtained are arranged in alphabetical order as in a dictionary, and ranked. Then the Rank of the given word is

Alphabetical order : I M O R R R To find the rank of the word M I R R ORThe number words :          starting with I = 5!3!      ''        ''    MIO =3!3!      ''        ''     MIRO = 2!2!First word starting with MIRR is MIRRORRank=1(5!3!)+1(3!3!)+1(2!2!)+1=23