Q. A dictionary is printed consisting of 7 letters words only that can be made with a letters of the word CRICKET. If the words are printed at the alphabetical order as in an ordinary dictionary, then the number of words before the word CRICKET is
A) 530
B) 480
C) 531
D) 481
Explanation
(a)
$\because$ Given word is CRICKET
total number of letters are 7 out of which two letters ‘C’ are count as one
$\therefore$ Required number of ways of words before the word CRICKET$= 5! \times 4 + 2 \times 4! + 2!$
$= 480 + 48 + 2 = 530$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.