Permutations And Combinations Question 54

Question: 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]

Options:

A) 530

B) 480

C) 531

D) 481

Show Answer

Answer:

Correct Answer: A

Solution:

  • The number of words before the word CRICKET is $ 4\times 5!+2\times 4!+2!=530 $ .