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

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

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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

$\therefore$ 48th word  = INIDA

46th 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

$\therefore$ 44th word is INAID

45th word is INDAI

46th word is INDIA