Discussion

Explanation:

Let’s first arrange all the letters in alphabetical order i.e., E J N O R U Y.

Let the position of letters be: 1 2 3 4 5 6 7

Letter at 1^st place:
Number of words starting with E = 6! = 720.
All these words will come before ‘JOURNEY’. From 721^st word onwards, first letter will be J.
J 2 3 4 5 6 7

Letter at 2^nd place:
Number of words with E at 2^nd place = 5! = 120.
Number of words with N at 2^nd place = 5! = 120.
Total 720 + 240 = 960 words.
All these words will come before ‘JOURNEY’. From 961^st word onwards, 1^st letter will be J and 2^nd letter will be O.
J O 3 4 5 6 7

Letter at 3^rd place:
Number of words with E at 3^rd place = 4! = 24.
Number of words with N at 3^rd place = 4! = 24.
Number of words with R at 3^rd place = 4! = 24.
Total 960 + 24 + 24 + 24 = 1032 words.
All these words will come before ‘JOURNEY’. From 1033^rd word onwards, 1st letter will be J, 2^nd letter will be O and 3^rd letter will be U.
J O U 4 5 6 7

Letter at 4^th place:
Number of words with E at 4^th place = 3! = 6.
Number of words with N at 4^th place = 3! = 6.
Total 1032 + 6 + 6 = 1044 words.
All these words will come before ‘JOURNEY’. From 1045^th word onwards, 1st letter will be J, 2^nd letter will be O, 3^rd letter will be U and 4^th letter will be R.
J O U R 5 6 7

Letter at 5^th place:
Number of words with E at 5^th place = 2! = 2.
Total 1044 + 2 = 1046 words.
All these words will come before ‘JOURNEY’. From 1047^th word onwards, 1^st letter will be J, 2^nd letter will be O, 3^rd letter will be U, 4^th letter will be R and 5^th letter will be N.
J O U R N 6 7

Now, 1047^th word will have E at 6^th and Y at 7^th position which makes the work J O U R N E Y.

∴ JOURNEY is ranked 1047^th.

Hence, 1047.

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