Question

Find the no. of words with or without meaning which can be made using all the letters of word A,G,A,I,N. if these words are written as in a dictionary. what will be the 25th word

Answer 1

Aagin
Aagni
Aaign
Aaing
Aagin
Aagni
Again
Agani
Agian
Agina
Agnai
Agnia
Aiagn
Aiang
Aigan
Aigna
Ainag
Ainga
Anagi
Anaig
Angai
Angia
Aniag
Aniga
Gaain

Therefore, 25th word is Gaain

Answer 2

$\mathtt{ \blue{ \huge{ \fbox{ \: \: Solution : \: \: }}}}$

There are total 5 words , of which A occurs two times and rest all are distinct

Therefore , the number of permutations starting with A Is 4! i.e 24

Thus , 25th word will be start from G

By rearranging according to the dictionary , we get

$\to$The 25th word will be GAAIN

Hence , the 25th word is GAAIN