Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AP EAMCET201823 Apr 2018Morning ShiftMathematicsPermutation and CombinationActual

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^ th place is

Options

  1. AELIGDAN
  2. BELNADGI
  3. CELINADG
  4. DELNDAGI

Correct answer

B. ELNADGI

Step-by-step solution

When letters of LEADING are arranged in ascending order then letters are A, D, E, G, I, L, N Now, words starts with 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 2160 that is more than 2017th place. Hence, word will start with E . Now, words starts with aligned & E A .=5 !=120 & E D . .=5 !=120 & E G . .=5 !=120 & E I . .=5 !=120 aligned Here, total words till now is 720+480=1920 Now, words start with aligned & ELA =4 !=24 & E L D

Practice Permutation and Combination on Quantrex Academy →

More from Permutation and Combination

All Permutation and Combination questions Full Permutation and Combination list All AP EAMCET PYQs