JEE Main & Advanced
Permutations and Combinations
Critical Thinking Questions
A dictionary is printed consisting of 7 lettered words only that can be made with a letter of the word CRICKET. If the words are printed at the alphabetical order, as in an ordinary dictionary, then the number of word before the word CRICKET is [Orissa JEE 2003]
The number of words before the word CRICKET is \[4\times 5!\,+2\times 4!\,+2!\,\,=530\].