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JEE Main Mathematics question

MathematicsPermutations and CombinationsJEE Main

A dictionary is printed consisting of 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

Answer: (A)

Solution

The letters in alphabetical order are , and CRICKET is ; count the words before it place by place. Second place: after the first , the letters are smaller than , and each leaves distinct letters, giving words; third place:

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Question ID VK-020475