Find the position

Probability Level 2

If all the arrangements of the word SMALL are arranged in a dictionary (with or without meaning),what will be the position of the word SMALL.

59 120 57 58

Saumya Acharya by Saumya Acharya , 22, India

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1 solution

Saumya Acharya
Apr 8, 2016

number of words(with or without meaning) formed with first letter as A 4 ! 2 ! \frac{4!}{2!} L 4! M 4 ! 2 ! \frac{4!}{2!} number of words with first two alphabets as SA 3 ! 2 ! \frac{3!}{2!} SL 3! SM 3 ! 2 ! \frac{3!}{2!} number of word with first three letters as SMA 1 ie;SMALL Position of the word SMALL=12+24+12+6+3+1=58

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