A dictionary is printed consisting of 7 lettered words only that can be made by rearranging the letters of the word CRICKET. If the words are printed in alphabetical order, as in a standard dictionary, then the number of words before the word CRICKET is

Number of words begin with CC is   =5!Number of words begin with   CE is  = 5!Number of words begin with CI is = 5!Number of words begin with CK is =5!Number of words begin with CRC is =4!Number of words begin with CRE is =4!Number of words begin with CRICE is =2!Next word is CRICKET . So number of words before the CRICKET is = 4·5! +2·4!+2 = 530