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A dictionary is printed consisting of 7 letter words that can be made with the letters of the word CRICKET. If the words are printed in 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
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A dictionary is printed consisting of 7 letter words that can be made ...
A dictionary is printed consisting of 7 letter words that can be made with the letters of the word CRICKET.
We have to find the number of words before the word CRICKET if the words are printed in the alphabetical order as in an ordinary dictionary.
Letters in alphabetical order in ordinary dictionary: C, E, I, K, R, T
There are two C's in word CRICKET.
∴ Number of words starting with CC = 5! [As remaining 5 letters arrange themselves in 5! ways]
Number of words starting with CE = 5!, Number of words starting with CI = 5!, Number of words starting with CK = 5!, Number of words starting with CRC = 4!, Number of words starting with CRE = 4!, Number of words starting with CRICE = 2!
Next word is CRICKET
∴ Total no of words which comes before the word CRICKET = 4(5!) + 2(4!) + 2!
= 4(120) + 2(24) +2 = 480 + 48 +2 = 530
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A dictionary is printed consisting of 7 letter words that can be made with the letters of the word CRICKET. If the words are printed in the alphabetical order as in an ordinary dictionary, then the number of words before the word CRICKET is:a)530b)480c)531d)481Correct answer is option 'A'. Can you explain this answer?
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A dictionary is printed consisting of 7 letter words that can be made with the letters of the word CRICKET. If the words are printed in the alphabetical order as in an ordinary dictionary, then the number of words before the word CRICKET is:a)530b)480c)531d)481Correct answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A dictionary is printed consisting of 7 letter words that can be made with the letters of the word CRICKET. If the words are printed in the alphabetical order as in an ordinary dictionary, then the number of words before the word CRICKET is:a)530b)480c)531d)481Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A dictionary is printed consisting of 7 letter words that can be made with the letters of the word CRICKET. If the words are printed in the alphabetical order as in an ordinary dictionary, then the number of words before the word CRICKET is:a)530b)480c)531d)481Correct answer is option 'A'. Can you explain this answer?.
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