Question

If the letters of the word ADINI are arranged as in dictionary, then what is the 46th word?

Answer 1

Letters in ascending order according to dictionary are ADIIN

Total number of words starts with letter A = 4!/2! = 12

Total number of words starts with  letter D = 4!/2! = 12

Total number of words starts with letter I = 4! = 24

\(\therefore\) 48^th word  = INIDA

47^th word = INIAD

46^th word = INDIA

Alternative:-

Total number of words start with letter A  = 4!/2! = 12

Total number of words start with letter D = 4!/2! = 12

Total number of words start with letter IA = 3! = 6

Total number of words start with letter ID =3! = 6

Total number of words start with letter II =3! = 6

Total number of words start with letter INA =2! = 2

\(\therefore\) 44^th word is INAID

45^th word is INDAI

46^th word is INDIA