JEE Main 2017 · 8 Apr · Shift 1 · Mathematics Q66

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MathematicsSingle correct+4 / -1Question 66 of 90

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 :

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Answer and worked solution

Official answer: C

The letters in order are E, E, N, Q, U.

Starting with E: $4!=24$ .
Starting with N: $\frac{4!}{2!}=12$ .
Starting with QE: $3!=6$ ; with QN: $\frac{3!}{2!}=3$ .

That makes 45. QUEEN is the first word beginning QU, so it is 46th.

Topics:Permutations

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JEE Main 2017 · 8 Apr · Shift 1, Mathematics question 66