Question 1135367
<br>
Given the usually excellent responses from tutor @ikleyn, I am CERTAIN she could have solved the problem without using the web site.<br>
Given that the number of letters is relatively small, I would prefer to get the mental exercise....<br>
(1) A _ _ _ _ :  the remaining letters are AGIN; the number of permutations is 4! = 24<br>
(2) G _ _ _ _ :  the remaining letters are AAIN; the number of permutations is 4!/2! = 12; total number of permutations to this point = 24+12 = 36<br>
(3) I _ _ _ _ :  the remaining letters are AAGN; the number of permutations is 4!/2! = 12; total number of permutations to this point = 36+12 = 48<br>
The 49th word is the first word that begins with N: NAAGI<br>
The 50th word is the second word the begins with N: NAAIG