If all the letters of the word CRICKET are permuted in all possible ways and the words (with or without meaning) thus formed are arranged in the dictionary order, then the rank of the word CRICKET is

Step-by-step solution

Given the words CRICKET So, total letters = C, C, E, I, K, R, T Now, Total number of words start with CC_____ =5 ! Total number of words start with CE_____ =5 ! Total number of words start with_____ =5! Total number of words start with_____ =5 ! Total number of words start with CRE_____ =4 ! Total number of words start with CRICE =2! Total number of words start with CRICKET =1 So, rank of CRICKET =4 5!+2 4!+2!+1=480+48+2+1=531