JEE Mains · Maths · STD 11 - 6. permutation and combination
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
- A \(44^{th}\)
- B \(45^{th}\)
- C \(46^{th}\)
- D \(47^{th}\)
Answer & Solution
Correct Answer
(C) \(46^{th}\)
Step-by-step Solution
Detailed explanation
\(E, E,N, Q, U\) \((i) E ................. = 4! = 24\) \((ii)\,N............... = \frac{{4!}}{2} = 12\) \((iii)\,QE.............. = 3! = 6\) \((iv)\,QN............... = \frac{{3!}}{{2!}} = 3\) \((v)\,QUEEN = 1\) \(\therefore \) Required rank \( = 24 + !2 + 6 + 3 + 1 = {46^{th}}\)
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