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AP EAMCET · Maths · Permutation Combination

If all the seven letters of the word LEADING are permuted in all possible ways and the words thus formed are arranged as in the dictionary order, then the word in \(2017^{\text {th }}\) place is

  1. A ELIGDAN
  2. B ELNADGI
  3. C ELINADG
  4. D ELNDAGI
Verified Solution

Answer & Solution

Correct Answer

(B) ELNADGI

Step-by-step Solution

Detailed explanation

When letters of LEADING are arranged in ascending order then letters are A, D, E, G, I, L, N Now, words starts with \(\mathrm{A}\) is \(6 !=720\), ie. \(A\)........ Similarly, words starts with \(D=6 !=720\) Now, words starts with \(E\) is also \(6 !=720\). But total number is…