JEE Main 2017 Mathematics question

MathematicsPermutations and CombinationsJEE Main 2017

If all the words, with or without meaning, are written using the letters of the word QUEEN and are arranged as in English dictionary, then the position of the word QUEEN is:

Answer: (3)

Solution

The letters of QUEEN in alphabetical order are , with the E repeated. The total number of arrangements is . Count the words that precede QUEEN. **Starting with E:** the remaining letters are all distinct, giving words. **Starting with N:**

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Question ID VK-115826