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
- AELIGDAN
- BELNADGI
- CELINADG
- 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